If g(x) = x2 – 4, where does the graph of the g(x) cross the x-axis? Make a sketch of the graph.

Q: If f(x) = 2x2 + 5 and g(x) = 3x + a, find a so that the graph of f ∘ g crosses the y-axis at 23.

A: fx=2x2+5  &  gx=3x+a Now, f∘gx=fgx=f3x+a=23x+a2+5

Q: How is the graph of f(t)= \og,t !! 4 related to the graph Of glt)=4

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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: g(x) = V8x – 1

A: We need to find the range (y-axis)

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

A: Given

Q: Sketch the graph of y = e-x.

A: We have to sketch the graph of the given function    The given function is   y=e-x

Q: I. Sketch the graph of the following 1. f(x) = 22r-1 2. g(x) = A

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Q: 7/8 For what value of x does the graph of f(x) = x8e* have a horizontal tangent?

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

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Q: Graph g(x) and –g() -9() from g(x)? on the same axes for the x-interval x E [0, 5]. How did you get

A: we have to get the graph -g((5-x)/2) from g(x)

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

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Q: snip

A: We have given f(x)=2x2+5, g(x)=3x+a and f∘g crosses the y-axis at 23. f∘g (read as "f of g") is a…

Q: (3x + 1 if x< 1 if x21 Sketch the graph of f(x) = 3

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Q: 4. The graph of the function f(x)= /16-x² is a half-circle. If we shift this graph 2 units to the…

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Q: The graph of g(x) = logs(-x) is the graph of f(x) = logsx reflected about the %3D

A: We can plot both the graphs to see thatThe blue curve represents the equation y = log5(x) and the…

Q: Sketch the graph of glx) = 2?J x + . Support the graph by a table

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Q: How is the graph of g(x)=f(kx) related to the graph of f when k = 5?

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Q: 2. Given the graph of y = f(x), sketch the graph of y =-f(x+1).

A:

Q: If f(x) = 2x2 + 5 and g(x) = 3x + a, find a so that the graph of f ∘ g crosses the y-axis at 23

A: f(x)=2x2+5g(x)=3x+a

Q: The graph of y = -f(x) is obtained from the graph of y = f(x) by reflecting in the__________ .

A: A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection…

Q: How does the graph of f(x) = (+2)4 + 6 compare to the parent function g(x) = x*? X 6|个 + Source C…

A: Given query is to find the transformation applied.

Q: 61. If f(x) = 2x² + 5 and g(x) = 3x + a, find a so that the graph of fo g crosses the y-axis at 23.

A: f(x)=2x2+5g(x)=3x+a

Q: 2. How does the value of k affect the graph of f(x) = (x- h) + k?

A:

Q: The line tangent to the graph of g(x) = x³ – 4x +1 at the point (2, 1) is given by the formula L(x)…

A: To select: The correct options. Given: The function is g(x)=x3-4x+1 and the line tangent to the…

Q: The graph of y = -f(x) is the graph of y = f(x) reflected across the -axis.

A: Known fact: The graph of y=-fx can be obtained by reflecting the graph y=fx across the x-axis.

Q: 7. Use the graph of f(x) → 3x² to obtain the graph of h(x) =x² .2

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Q: I need the graph of the solution and describe its behavior as t increases

A: Apologies for the inconvenience. The solution is: yt=-1+5t3e-13t [used t place of x in the original…

Q: S [-x], if – 1<x <1 x² – 4x, Sketch the graph of f(x) otherwise

A: Given that: fx=-x, if -1≤x≤1x2-4x, otherwise   Note: x = The greatest integer function ⇒ The…

Q: Sketched below are the graphs of f(x)=x²-1 and g(x)=x+1., The graph of fintersects the x- axis at A…

A: Given data:- The given equation, f(x)=x2-1g(x)=x+1

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)?

A:

Q: If f(x) = 3x^2 − 7 and g(x) = 2x + a, find a so that the graph off ◦ g crosses the y-axis at 68.

A: Given

Q: 2 Graph the function g (x) =x+1 ?

A:

Q: Can you help me sketch a graph of g(x) and clearly indicate on the graph where the relative extrema…

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Q: For what values of x does the graph of Ax)=x³ + 9x² + x + 5 have a horizontal tangent?

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Q: -x² +1 ifx<0 h(x)={x+1 if 0 <x<1 2 x21 Sketch the graph of h.

A: The given function is as follows.

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

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Q: the graph of y=f(x) has been transformed to the graph of y=g(x) as shown in the picture. no…

A: Vertex of g(x) is (1,-1)  (h,k) = (1,-1)   Equation of parabola when symmetric about Y-axis is given…

Q: For what values of x is the graph of y = e concave down?

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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: 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).

A:

Q: A reflection in the x-axis of the graph of y = f(x) is represented by h(x) = ________, while a…

A: Since, we know that the reflection of point (a,b) in x-axis is (a,-b)and the reflection of point…

Q: The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been stretched somewhat…

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Q: Use the graph of f(x) 2 to sketch the graph of g. %3D g(x) = %3D

A: Given,         The graph of fx=2x2 is shown below :

Q: Is the graph of g(x)=4x^3+9x^2+7x+3 concave up or down at the point with x-coordinate −2?

A: