Graph of x 2 - Finally, when x is equal to 16, the principal square root of 16 is 4. So I think you already see how these two are related. We've essentially just swapped the x's and the y's. Well, these are the same x and y's, but here you have x is 2, y is 4. Here x is 4, y is 2. 3 comma 9, 9 comma 3. 4 comma 16, 16 comma 4. And that makes complete sense.

 
Precalculus. Graph x=-2. x = −2 x = - 2. Since x = −2 x = - 2 is a vertical line, there is no y-intercept and the slope is undefined. Slope: Undefined. y-intercept: No y-intercept. Find two points on the line. x y −2 0 −2 1 x y - 2 0 - 2 1. Graph the line using the slope, y-intercept, and two points. . Weather report ithaca

The graph of x^2+x+y^2+y= 199/2 in the xy -plane is a circle. What is the length of the circle’s radius? 171. Solution. Emily. Ohio State University · Mechanical engineer. Answer. Explanation. Identify the conic section: circle Write the equation of x 2 + x + y 2 + y = 199 2 i n g e n e r a l f o r m: x 2 + y 2 + x + y ...Apr 10, 2021 ... In the we see that the graph of x² + 1 = 0 Neither touches nor intersects x-axis. FINAL ANSWER. Hence the correct ...The graph completed is already done, ... In this video where we will be working backwards from the graph shown on-screen to draw the graph the equation y=1/x^2.x2 − 2x x 2 - 2 x. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (1,−1) ( 1, - 1) Focus: (1,−3 4) ( 1, - 3 4) Axis of Symmetry: x = 1 x = 1. Directrix: y = −5 4 y = - 5 4. Select a few x x values, and plug them into the equation to find the corresponding y y values. y2 − x2 1 = 1 y 2 - x 2 1 = 1. This is the form of a hyperbola. Use this form to determine the values used to find vertices and asymptotes of the hyperbola. (y−k)2 a2 − (x−h)2 b2 = 1 ( y - k) 2 a 2 - ( x - h) 2 b 2 = 1. Match the values in this hyperbola to those of the standard form. The variable h h represents the x-offset from the ...y = x2 − 3 y = x 2 - 3. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (0,−3) ( 0, - 3) Focus: (0,−11 4) ( 0, - 11 4) Axis of Symmetry: x = 0 x = 0. Directrix: y = −13 4 y = - 13 4. Select a few x x values, and plug them into the equation to find the corresponding y y values.In today’s data-driven world, the ability to effectively communicate information through visual aids has become crucial. Enter graph templates – a valuable tool for transforming ra...Aug 24, 2022 ... 2), our input or x value is x=2. Therefore, to compute this using the graph, starting at the origin (0, 0), we go two units to the right and ...However, the argument of the previous absolute-value expression was x + 2.In this case, only the x is inside the absolute-value bars. This argument will be zero when x = 0, so I should expect to see an elbow in that area.Also, since the "plus two" is outside of the absolute-value bars, I expect my graph to look like the regular absolute-value graph …Jun 4, 2015 · Graph the parent quadratic (y = x^2) by creating a table of values using select x values. - The graph of this parent quadratic is called a parabolaNOTE: Any... Mar 6, 2017 ... Graph the parabola, y =x^2+1 by finding the turning point and using a table to find values for x and y.5 months ago. Domain is all the values of X on the graph. So, you need to look how far to the left and right the graph will go. There can be very large values for X to the right. Range is all the values of Y on the graph. So, you look at how low and how high the graph goes. Hope this helps.graph of x^2. Natural Language. Math Input. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. May 17, 2018 ... Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Sketch the graph of g(x) = x^2 + 5 using Transformations in MyMathlab.When x is 2, y is 25. 2 comma 25 puts us right about there. And so I think you see what happens with this function, with this graph. The further in the negative direction we go, 5 to ever-increasing negative powers gets closer and closer to 0, but never quite.Are you looking to present your data in a visually appealing and easy-to-understand manner? Look no further than Excel’s bar graph feature. The first step in creating a bar graph i...Graph y=x^2. Step 1. Find the properties of the given parabola. Tap for more steps... Step 1.1. Rewrite the equation in vertex form. Tap for more steps... Step 1.1.1. x2 − 2x x 2 - 2 x. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (1,−1) ( 1, - 1) Focus: (1,−3 4) ( 1, - 3 4) Axis of Symmetry: x = 1 x = 1. Directrix: y = −5 4 y = - 5 4. Select a few x x values, and plug them into the equation to find the corresponding y y values. To move a graph upward, add to the function; for example, f (x) + 2 moves the graph of the function f (x) upward by 2 units. To move a graph downward, subtract from the function; for example, f (x) − 3 moves the …Answer link. Please see below. The equation x = -2 has a graph that is a vertical line with all x-coordinates equal to -2. The collection of points with x-coordinate (strictly) greater that -2 is to the right of this line. The graph of the inequality is shaded in blue. The vertical line x=-2 is dashed rather than solid to indicate that the line ...Dec 5, 2017 · We have the function x ≤ 2. When x is the function then it's going to be a vertical stretch at a x value. In this case it says that 2 is greater then x so the line would be at the point (2, 0). Then we have a dilemma where we don't know which line to use. Their is a dashed line and a full line. Now, we know that we need a full line. Free online graphing calculator - graph functions, conics, and inequalities interactivelyGraph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Untitled Graph. Save Copy Log InorSign Up. f x = 1 x − 1 2 2 − ... The domain of f(x) = 2x is all real numbers, the range is (0, ∞), and the horizontal asymptote is y = 0. To get a sense of the behavior of exponential decay, we can create a table of values for a function of the form f(x) = bx whose base is between zero and one. We’ll use the function g(x) = (1 2)x.The first is the function f(x) = a f ( x) = a, where a a is any number. This means that regardless of what x x is, the output is always the same. The result is a horizontal line at the height of a a since the y y components are all equal to a a. Example 2.4.4 2.4. 4. Graph the function f(x) = 2 f ( x) = 2.Jul 18, 2015 · graph{x^2 [-10, 10, -5, 5]} #y=x^2+2# is a parabola shifted/transated two units upwards since 2 is being added to the whole equation. The vertex is at (0,2) now. graph{x^2+2 [-10, 10, -5, 5]} You can always plug in values to plot if you'e unsure about the rules of transformations, but they are summarized below. Here we had +2 to y so the graph ... Algebra. Graph x^2+y^2=25. x2 + y2 = 25 x 2 + y 2 = 25. This is the form of a circle. Use this form to determine the center and radius of the circle. (x−h)2 +(y−k)2 = r2 ( x - h) 2 + ( y - k) 2 = r 2. Match the values in this circle to those of the standard form. The variable r r represents the radius of the circle, h h represents the x ...Standard equation of a circle. The standard, or general, form requires a bit more work than the center-radius form to derive and graph. The standard form equation looks like this: {x}^ {2}+ {y}^ {2}+Dx+Ey+F=0 x2 + y2 + Dx + E y + F = 0. The standard form of a circle equation. In the general form, D , E, and F are given values, like integers ...Free online graphing calculator - graph functions, conics, and inequalities interactively.Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Untitled Graph. Save Copy Log InorSign Up. f x = 1 x − 1 2 2 − ... Are you looking to present your data in a visually appealing and easy-to-understand manner? Look no further than Excel’s bar graph feature. The first step in creating a bar graph i...Jul 9, 2013 ... Share your videos with friends, family, and the world.graph x^2. Natural Language; Math Input; Extended Keyboard Examples Upload Random. Input interpretation. Plot. Download Page. POWERED BY THE WOLFRAM LANGUAGE. …Precalculus. Graph x=-2. x = −2 x = - 2. Since x = −2 x = - 2 is a vertical line, there is no y-intercept and the slope is undefined. Slope: Undefined. y-intercept: No y-intercept. Find two points on the line. x y −2 0 −2 1 x y - 2 0 - 2 1. Graph the line using the slope, y …Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Untitled Graph. Save Copy Log InorSign Up. f x = 1 x − 1 2 2 − ... Algebra. Graph x^2+y^2=25. x2 + y2 = 25 x 2 + y 2 = 25. This is the form of a circle. Use this form to determine the center and radius of the circle. (x−h)2 +(y−k)2 = r2 ( x - h) 2 + ( y - k) 2 = r 2. Match the values in this circle to those of the standard form. The variable r r represents the radius of the circle, h h represents the x ...An example of a function graph. How to Draw a Function Graph First, start with a blank graph like this. It has x-values going left-to-right, and y-values going bottom-to-top: ... where you enter equations like "x^2+y^2=9" (meaning x 2 +y 2 =9). But remember they are just a help! They are only computer programs, and could easily miss some ...Algebra 1 16 units · 184 skills. Unit 1 Algebra foundations. Unit 2 Solving equations & inequalities. Unit 3 Working with units. Unit 4 Linear equations & graphs. Unit 5 Forms of linear equations. Unit 6 Systems of equations. Unit …In this video we'll draw the graph for y = x^2 + 1 using a table of values .First, we will use a table of values to plot points on the graph. Once we have tw...Jun 7, 2020 ... graph y = x^2 - 1 parabola using a table of values video 3. 5.9K views · 3 years ago ...more. Try YouTube Kids. An app made just for kids.1 2 3 = ans , ( ) 0 . Interactive, free online graphing calculator from GeoGebra: graph functions, plot data, drag sliders, and much more! Solution First graph x = y. Next check a point not on the line. Notice that the graph of the line contains the point (0,0), so we cannot use it as a checkpoint. To determine which half-plane is the solution set use any point that is obviously not on the line x = y. The point ( - 2,3) is such a point. Using this information, graph x . y.Are you tired of spending hours creating graphs and charts for your presentations? Look no further. With free graph templates, you can simplify your data presentation process and s...These points are called x-intercepts and y-intercepts, respectively. What is the formula for slope and y-intercept? The slope-intercept form of a linear equation is y = mx + b, where m is the slope of the line and b is the y-intercept.QuickMath will automatically answer the most common problems in algebra, equations and calculus faced by high-school and college students. The algebra section allows you to expand, factor or simplify virtually any expression you choose. It also has commands for splitting fractions into partial fractions, combining several fractions into one and ...Find the value of C so that the graph of x 2 + y 2 - 12x + 14y - C = 0 passes through the point (10,1)The online curve plotting software, also known as a graph plotter, is an online curve plotter that allows you to plot functions online. Simply enter the ...Algebra Graph x^2-2x x2 − 2x x 2 - 2 x Find the properties of the given parabola. Tap for more steps... Direction: Opens Up Vertex: (1,−1) ( 1, - 1) Focus: (1,−3 4) ( 1, - 3 4) Axis of …Jul 9, 2013 ... Share your videos with friends, family, and the world.Unit 6 Systems of equations. Unit 7 Inequalities (systems & graphs) Unit 8 Functions. Unit 9 Sequences. Unit 10 Absolute value & piecewise functions. Unit 11 Exponents & radicals. Unit 12 Exponential growth & decay. Unit 13 Quadratics: Multiplying & factoring. Unit 14 Quadratic functions & equations.How to graph your problem. Graph your problem using the following steps: Type in your equation like y=2x+1. (If you have a second equation use a semicolon like y=2x+1 ; y=x+3) Press Calculate it to graph!y = x2 − 5 y = x 2 - 5. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (0,−5) ( 0, - 5) Focus: (0,−19 4) ( 0, - 19 4) Axis of Symmetry: x = 0 x = 0. Directrix: y = −21 4 y = - 21 4. Select a few x x values, and plug them into the equation to find the corresponding y y values.Answer link. Please see below. The equation x = -2 has a graph that is a vertical line with all x-coordinates equal to -2. The collection of points with x-coordinate (strictly) greater that -2 is to the right of this line. The graph of the inequality is shaded in blue. The vertical line x=-2 is dashed rather than solid to indicate that the line ...Analyzing polynomial functions We will now analyze several features of the graph of the polynomial f ( x) = ( 3 x − 2) ( x + 2) 2 . Finding the y -intercept To find the y -intercept of …y = x2 − 5 y = x 2 - 5. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (0,−5) ( 0, - 5) Focus: (0,−19 4) ( 0, - 19 4) Axis of Symmetry: x = 0 x = 0. Directrix: y = −21 4 y = - 21 4. Select a few x x values, and plug them into the equation to find the corresponding y y values.x2 x 2. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (0,0) ( 0, 0) Focus: (0, 1 4) ( 0, 1 4) Axis of Symmetry: x = 0 x = 0. Directrix: y = −1 4 y = - 1 4. Select a few x x values, and plug them into the equation to find the corresponding y y values. Sep 13, 2014 · The graph of #f(x)=x^2# is called a "Parabola." It looks like this: One of the ways to graph this is to use plug in a few x-values and get an idea of the shape. Since the x values keep getting squared, there is an exponential increase on either side of the y-axis. You can see this by plugging in a few values: When #x=0, f(x)=0# The x-intercept 2 is the repeated solution of equation \((x−2)^2=0\). The graph touches the axis at the intercept and changes direction. The factor is quadratic (degree 2), so the behavior near the intercept is like that of a quadratic—it bounces off of the horizontal axis at the intercept.y = x2 − 1 y = x 2 - 1. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (0,−1) ( 0, - 1) Focus: (0,−3 4) ( 0, - 3 4) Axis of Symmetry: x = 0 x = 0. Directrix: y = −5 4 y = - 5 4. Select a few x x values, and plug them into the equation to find the corresponding y y values.Oct 23, 2018 ... Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Sketch the Graph of the Parabola f(x) = (x + 2)^2 - 4 and Plot the x and y ...The graph completed is already done, ... In this video where we will be working backwards from the graph shown on-screen to draw the graph the equation y=1/x^2.The Integral Calculator supports definite and indefinite integrals (antiderivatives) as well as integrating functions with many variables. You can also check your answers! Interactive graphs/plots help visualize and better understand the functions. For more about how to use the Integral Calculator, go to "Help" or take a look at the examples.Unit 6 Systems of equations. Unit 7 Inequalities (systems & graphs) Unit 8 Functions. Unit 9 Sequences. Unit 10 Absolute value & piecewise functions. Unit 11 Exponents & radicals. Unit 12 Exponential growth & decay. Unit 13 Quadratics: Multiplying & factoring. Unit 14 Quadratic functions & equations.Mar 27, 2017 ... Steps to graph x^2 + y^2 = 4.It is added to the x -value. For horizontal shifts, positive c values shift the graph left and negative c values shift the graph right. y=f (x)+2 y = f (x) + 2 produces a vertical translation, because the +2 is the d value. It shifts the entire graph up for positive values of d and down for negative values of d.Are you looking to present your data in a visually appealing and easy-to-understand format? Look no further than creating a bar graph in Excel. A bar graph is a powerful tool for v...In this video we'll draw the graph for y = x^2 + 2 .First, we will use a table of values to plot points on the graph. Once we have two or three points, we ca...The x- and y-axes each scale by one. A graph of a line intersects the points zero, five and four, two. Both of these points are plotted on the graph. There is a horizontal dotted segment from zero, five to four, five that is labeled four. There is a vertical dotted segment from four, five to four, two that is labeled negative three.Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Loading... Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. ... Y=X^2 Transformations. Save Copy. Log InorSign Up. y = a bx − h ...1 2 3 = ans , ( ) 0 . Interactive, free online graphing calculator from GeoGebra: graph functions, plot data, drag sliders, and much more! Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. I think you meant to write y = x^2 - 2x + 1 instead of y + x^2 - 2x + 1. So, if: y = x^2 - 2x + 1, and ... We have y is greater than x minus 8, and y is less than 5 minus x. Let's graph the solution set for each of these inequalities, and then essentially where they overlap is the solution set for the system, the set of coordinates that satisfy ...graph sqrt (x^2 + y^2) Natural Language. Math Input. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music….Solution. Verified by Toppr. Graph of 2x + 3y = 2 : Put x = 1, then y = 0. Put x = 4, then y = -2. Put x = -2, then y = 2. Plot the three points (-2,2) , (1,0) and (4,-2) on the graph paper. Join all these points using a single line , and hence we get the line 2x + 3y = 2. Graph of x - …Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.Algebra. Graph y = square root of x-2. Find the domain for so that a list of values can be picked to find a list of points, which will help graphing the radical. Tap for more steps... Interval Notation: Set -Builder Notation: To find the radical expression end point, substitute the value , which is the least value in the domain, into .Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more. Untitled Graph. Save Copy Log InorSign Up. f x = 1 x 1. g x = d dx ... Step 2: Click the blue arrow to submit. Choose "Find the Tangent Line at the Point" from the topic selector and click to see the result in our Calculus Calculator ! Examples . Find the Tangent Line at (1,0) Popular Problems . Find the Tangent Line at the Point 2 x 2 + y 2 = 12, (2,-2) Find the Tangent Line at the Point y = 7 x x + 4, (3, 3)In today’s digital age, it’s easy to overlook the power of simple tools like printable graph paper. However, this traditional tool can still play a crucial role in improving your w...y = x2 − 3 y = x 2 - 3. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (0,−3) ( 0, - 3) Focus: (0,−11 4) ( 0, - 11 4) Axis of Symmetry: x = 0 x = 0. Directrix: y = −13 4 y = - 13 4. Select a few x x values, and plug them into the equation to find the corresponding y y values. Algebra. Graph x=2. x = 2 x = 2. Since x = 2 x = 2 is a vertical line, there is no y-intercept and the slope is undefined. Slope: Undefined. y-intercept: No y-intercept. Find two points on the line. x y 2 0 2 1 x y 2 0 2 1. Graph the line using the slope, y-intercept, and two points. Feb 16, 2016 ... This video shows you how to graph almost any equation that you may encounter in Pre-Algebra, Algebra 1, Algebra 2, College Algebra, ...Graph paper is a versatile tool that has been used for centuries in the fields of math and science. Its grid-like structure makes it an essential tool for visualizing data, plottin...Algebra. Graph y=2x+5. y = 2x + 5 y = 2 x + 5. Use the slope-intercept form to find the slope and y-intercept. Tap for more steps... Slope: 2 2. y-intercept: (0,5) ( 0, 5) Any line can be graphed using two points. Select two x x values, and plug them into the equation to find the corresponding y y values.Interactive, free online graphing calculator from GeoGebra: graph functions, plot data, drag sliders, and much more!

Algebra. Graph x^2+y^2=25. x2 + y2 = 25 x 2 + y 2 = 25. This is the form of a circle. Use this form to determine the center and radius of the circle. (x−h)2 +(y−k)2 = r2 ( x - h) 2 + ( y - k) 2 = r 2. Match the values in this circle to those of the standard form. The variable r r represents the radius of the circle, h h represents the x ... . Ihop nenu

graph of x 2

Watch this video to learn how to graph the function y=tan(x) using the properties of tangent and the unit circle. You will also see how the tangent graph relates to the sine and cosine graphs and how to identify its period, amplitude, and asymptotes.Apr 10, 2021 ... In the we see that the graph of x² + 1 = 0 Neither touches nor intersects x-axis. FINAL ANSWER. Hence the correct ...Just type "graph x^x" in the window. You'll notice that WolframAlpha does define it for negative values, but the result is a complex number. Share. Cite. Follow answered Jan 3, 2017 at 21:38. Reese Johnston Reese Johnston. 18k 1 1 gold badge 23 23 silver badges 44 44 bronze badgesTo find the x -intercepts, we can solve the equation f ( x) = 0 . The x -intercepts of the graph of y = f ( x) are ( 2 3, 0) and ( − 2, 0) . Our work also shows that 2 3 is a zero of multiplicity 1 and − 2 is a zero of multiplicity 2 . This means that the graph will cross the x -axis at ( 2 3, 0) and touch the x -axis at ( − 2, 0) . f (x) = x2 f ( x) = x 2. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (0,0) ( 0, 0) Focus: (0, 1 4) ( 0, 1 4) Axis of Symmetry: x = 0 x = 0. Directrix: y = −1 4 y = - 1 4. Select a few x x values, and plug them into the equation to find the corresponding y y values. f (x) = 5x + 10. The parent linear function is y = x, which is the simplest form from which members of the linear functions family can be derived. Linear Parent function : f (x) = x. The parent function graph of linear functions is a straight line with a slope of 1 and passes through the origin. The graph of a function whose parent function is ...New Question. Need Help. 0. 510. 1. This is a similar question that was formerly asked but I am confused about it. Here is the question: Find the total number of lattice points on the graph of x^2 + y^2 + 11x - 13y + 73 = 0. If anyone can help me out that would be phenomenal!If x =-2, -2+2 = 0, so (-2+2)^(1/3) = 0. The coordinates are therefore x=-2, y=0 We can see that this is a shift to the left, rather than the right as you might initially expect. ... +4=√8, this ends up with 0 = √8 which is false and shows this point is not on the graph of y=√(-x+4). Try 0 for x and you get √4 = 2, so y has a value of 2 ...Graph the parent quadratic (y = x^2) by creating a table of values using select x values. - The graph of this parent quadratic is called a parabolaNOTE: Any...Algebra. Asymptotes Calculator. Step 1: Enter the function you want to find the asymptotes for into the editor. The asymptote calculator takes a function and calculates all asymptotes and also graphs the function. The calculator can find horizontal, vertical, and slant asymptotes. Step 2:y = x2 − 3 y = x 2 - 3. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (0,−3) ( 0, - 3) Focus: (0,−11 4) ( 0, - 11 4) Axis of Symmetry: x = 0 x = 0. Directrix: y = −13 4 y = - 13 4. Select a few x x values, and plug them into the equation to find the corresponding y y values. Algebra. Graph y=2^x. y = 2x y = 2 x. Exponential functions have a horizontal asymptote. The equation of the horizontal asymptote is y = 0 y = 0. Horizontal Asymptote: y = 0 y = 0. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math ... The graph of f(x) = x2 is horizontally stretched by a factor of 3, then shifted to the left 4 units and down 3 units. For the following exercises, describe how the formula is a transformation of a toolkit function. Then sketch a graph of the transformation. 69. g(x) = 4(x + 1)2 − 5. 70. g(x) = 5(x + 3)2 − 2. 71.y = x − x2 y = x - x 2. Find the properties of the given parabola. Tap for more steps... Direction: Opens Down. Vertex: (1 2, 1 4) ( 1 2, 1 4) Focus: (1 2,0) ( 1 2, 0) Axis of Symmetry: x = 1 2 x = 1 2. Directrix: y = 1 2 y = 1 2. Select a few x x values, and plug them into the equation to find the corresponding y y values. Microsoft Excel is a spreadsheet program within the line of the Microsoft Office products. Excel allows you to organize data in a variety of ways to create reports and keep records...In this video we'll draw the graph for y = x^2 + 1 using a table of values .First, we will use a table of values to plot points on the graph. Once we have tw...End Behavior of a Function. The end behavior of a polynomial function is the behavior of the graph of f (x) as x approaches positive infinity or negative infinity.. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.. The leading coefficient is significant compared to the other coefficients in the function for the …f (x) = x2 f ( x) = x 2. Find the properties of the given parabola. Tap for more steps... Direction: Opens Up. Vertex: (0,0) ( 0, 0) Focus: (0, 1 4) ( 0, 1 4) Axis of Symmetry: x = 0 x = 0. Directrix: y = −1 4 y = - 1 4. Select a few x x values, and plug them into the equation to find the corresponding y y values. Describe how the graph of the function f(x) = -x^2 - 4 can be obtained from one of the basic graphs. a) Describe how the graph of y = x^2 can be transformed to the graph of the given equation y = (x - 4)^2 - 8. b) Describe how the graph of y = x^2 can be transformed to the graph of the given equation y = (-x)^2. Find the slope of the graph of ....

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