The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been stretched somewhat and shifted. Which of the following could be the equation of F(x)? G(X) = x2 FO= ?

Q: Consider the function f(x)=(x+1)(x–1)2,   At what value of x will the graph of f cross the y-axis?…

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Q: Use the graph of f(x) = x2 to obtain the graph of h(x) = (x + 1)2 - 3.

A: To use the graph of f(x) to obtain the graph of h(x).

Q: Suppose the point (0, b) is on the graph of f(x) = -x +1, then the value of b is

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Q: Use the graph of f(x) = x3 to obtain the graph of h(x) = (1/2)x3.

A:

Q: Given a function Ax) and g(x) =-x+1, how would the graph of y = f(x) compare to the graph of y=…

A: Given, a function f(x) and g(x)=-x+1.

Q: Find the points on the graph for the function at the value f(x) = 3. x2 7x + 12

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Q: How is the graph of g(x)=(x-3) related to the graph of f(x) = x?

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Q: Find an equation for the graph sketched below -5 4 -3 f(x) =

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Q: Use the graph of f(x) = x2 to graph g(x) = 2(x + 3)2 - 1.

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Q: s the graph of /(x), which function g(x)-4(x-C)+D hn as its graph?

A: Given query is to find graph of g(x) from f(x).

Q: Which of the following represents the graph of f(x) = 2(x − 3)?

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Q: A county landfill has a maximum capacity of about 121,000,000 tons of trash. The amount in the…

A: (a) Find the slope and the y - intercept and then plot the equation for the function T(x).…

Q: Find the point on the graph of the function x = √10y that is closest to the point (0, 4)

A: The given function and point are x=10y and (0, 4) respectively. The graph of the function x=10y is:…

Q: Find f^-1 (x), if it exists, and graph both f(x) and f^-1 (x).  f(x)= 2x^3 -3

A: Topic  =Functions

Q: How does the graph of f(x)=(x-9)'-3 Compare to the parent function gx) = x". |

A: Given, f(x)=(x-9)4-3 g(x)=x4

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x+1.

A: To determine: Graph of g(x)=3x+1 using the graph of f(x)=3x

Q: The point of the given function at (2, -7) is found to be y = x3 – 2x2 – 4x + 1

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Q: Two key points on the graph of g(x)=8^x are (1, _) and (0,_)

A: Given the function  g(x) = 8x we need to find it's two key points with given information. Now let (1…

Q: Use the graph of f(x) → 3x² to obtain the graph of h(x) =: 2.

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Q: Which of the following is an equation of the line tangent to the graph of f (x) = -x³ + 4x² at the…

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Q: Graph g(x), where f(x) = 3x − 1 and g(x) = f(x + 1).

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Q: Find the point on the graph of the function that is closest to the given point. f(x) = Vx - 4, (15,…

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Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1.

A: The given function is fx=3x. The graph of the function as shown below:

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1

A: Given: fx=3x, gx=3x-1 for drawing graph of given gx, first we simplify gx so, gx=3x-1=3x.3-1=3x3

Q: Use this graph of g to find the solutions to g(x) = 3.

A: To find: the solution of the g(x)=3 from graph.

Q: The graph y=f(x) is graphed below. What is the end behavior of f(x)?

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Q: The graph of a quadratic function f passes through the points (−2, 4), (1, 1) and (5, 0). What is…

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Q: How would the graph of f(x) = ✔x be affected if it were changed to g(x) = -2✔x?

A: Because the 2 was multiplied with f(x), so f(x) will stretch vertically by a factor of 2.  Because…

Q: Find the absolute maximum value of the function f(x) = 5(x - e

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A: Given: y=f(x)=x3-9 To determine: Equation of new function when the graph is horizontally stretched…

Q: Find an equation for the graph sketched below f(2) -[ 434

A: The horizontal asymptote of the given graph is: y = 3 y-intercept of the graph is: y = 4

Q: 11. Sketch the graph of the following function. f(x)= x³6x² - 9x [1]x- and y-intercepts

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Q: Find the point on the graph of f(x)=4−x2 that is closest to the point (0,1).

A: To find the point on the graph of fx=4-x2 that is closest to the point (0,1)

Q: What is the easiest way to graph f(x)=1/1+e1/x?

A: Choose the some values of x and then find the values of f(x) for corresponding x values.

Q: Graph the function f(x) 3° and g(x)-3-x on the same set of axes. How does the graph of g(x) compare…

A: To draw the graph of the function f(x) = 3x, find the value of the function at different points to…

Q: 1. How does the value of h affect the graph of f(x) = (x – h) + k?

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Q: Explain how to identify the graph of : Ax2 + Cy2 + Dx + Ey + F = 0.

A: If an equation has a square form of the variable  or a square form of the variable  or a square form…

Q: Use the guidelines of the section to make a complete graph of ƒ.

A: The given function is f(x) = 1e-x-1

Q: Begin by graphing the standard cubic function, f(x) = x3. Then use transformations of this graph to…

A: Given:  f(x) = x3 The given function is g(x) = x3 - 2

Q: Fill in each blank so that the resulting statement is true.

A: Compared with the graph of fx=1x, the graph of gx=1x+2-1 is shifted 2 units ______ and 1 unit _____.

Q: 28. Use the graph below to determine the equation of h(x).

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Q: Sketch the graph of ƒ(x) = e2/x.

A: The given function is fx=e2x. Sketch the graph of fx=e2x as shown below.

Q: Use the given graph of y = f(x) to solve graph g(x) = f(x - 1) + 1.

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Q: The graphs of f (x) = 2" and g(x) = 3"- are shown. %3D

A: According to logarithm formula .

Q: the graph of f(x)=x^2 is transformed to create the graph of g(x)=f(x)-9

A: Use downward shift of graph

Q: Sketch the graph of the function. y = e−x/2

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A: Given functions are fx=13x,gx=2. Graph the above function as shown below. From the above figure,…

Q: 3 The graph of f(x) = 2x° + 15x² – 84x + 24 has two horizontal tangents. One occurs at a negative…

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Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.