The graph of f (x) = x² was transformed to create the graph of g(x) = – (6x)² . Which of these describes the transformation from the graph of f to the graph of g? SELECT ALL THAT APPLY. O reflection over the x-axis o horizontal compression o reflection over the y-axis o vertical compression

Q: 8. The graph of y = f(- x) is a reflection of the graph of y = f(x) in the x-axis.

A: Authoring guidelines:…

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

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Q: 1. Let X be the graph of f(x) = x2/3 given below

A: Sol

Q: Draw the graph of f(x) and discuss its differentiability at x = 1.

A: Given fx=x2,     x≤1x,   x>1

Q: S2x - 1, for x < 2, 12-x, for x 2 h(x) = Graph. 3) %3D

A: The given function is

Q: 1. Find all values of x where a) f(x) = 0, b) f(x) > 0, and c) f(x) 0 when c)f (x) <0 when

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Q: P2- Graph the fellowing functions. 4ー× xS f cx) 2 2 a- X + 2X メ>! Xく。 gcx) = b-

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Q: How does the graph of f(x) 22 compare to the graph of g(x)= 2"+27 whereas the graph The graph of…

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Q: (-x² – 2x+3 if x1 a. Sketch the graph of f(x)

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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: 3. Use the given graphs to sketch the graph of f(x) + g(x). Explain your process. [A3] [C2] fox)…

A: We have to solve and draw the graph.

Q: (x² – 3 if x<2 5-x if x22 Sketch the graph of the piecewise defined function: g(x)=<

A: The given function is:

Q: Identify the vertex of the following.f(x) = x2 − 4Use a graphing utility to verify your results.(x,…

A: Important points: 1. To find the vertex, first we will write the given equation in a parabola…

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

A:

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: 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: 2. f(x) = 3[ x]

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Q: Use the graph of f(x) = lxl to obtain the graph of g(x) = lxl - 4.

A: Given function is fx=x. To transform gx=x-4 from the graph of fx=x. Since the graph of g has -4,…

Q: (1+ 3x X 1

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Q: The graph of g(x) = x² was transformed to create the graph of h(x) = –-) . Which of these describes…

A: We can solve as follows

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

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Q: . Here is a graph of f(x) = e² and a graph of g, which is for the function g.

A: Introduction: For a function f(x), When c is subtracted from x, then f(x-c)is known as horizontal…

Q: (a) How is the graph of y = f(x – 3) + 2 obtained from the graph of f? (b) How is the graph of y =…

A: Let the given graph is f(x). (a) To obtain the graph of y=f(x-3)+2 First, horizontally translate the…

Q: %3D Let X be the graph of f(x) = x2/3 given below

A: Follow the steps.

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: 3. Explain the transformations of g(x) = 3(x + 5)² + 10 that are needed from the graph of f(x) = x?

A: Given: the function gx=3x+52+10 and fx=x2, To find: The transformations of gx that are needed from…

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: Explain how the graph of g is obtained from the graph of f. (a) f(x) = x, g(x) = (x - 5)3 O shift…

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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: Use the graph of f(x) = lxl to obtain the graph of g(x) = 2lxl.

A: Solution: Consider the graph of function f(x) = x which shows in the pink color below. Now, define…

Q: Sketch the graphs of g and g-1. Then find the rule for g(x). g(x)=Dx2+2 (x20) 8(x) =

A: Inverse of function

Q: 5. The graph of f(x) = x² is given below. Graph -(x).

A: Given graph of function  , f(x)=x2, and we have to draw a graph of -f(x), For graph look at step 2

Q: Use the graph of f(x) = 5. to sketch the graph of g. %3D g(x) = %3D x - 8

A: Now, the center of g(x) shifted to 8x -axis. The graph of g(x) , curve will be drawn between the…

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: 9. Graph the piecewise function: 2 xS-1 h(x) = { x' -1<x< /2 %3D 43

A: We have to graph the function.

Q: Describe the translation needed to obtain the graph of g(x) = 5* + 8 from the graph of f(x) = 5*.…

A: The functions are given by gx = 5x+8 fx = 5x

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: (a) How is the graph of y = f(x – 3) + 2 obtained from the graph of f? %3D (b) How is the graph of y…

A: Shifting or change in the graph of the function f(x) is done by adding, subtracting, multiplying,…

Q: Write a function f(x) so that the graph has a vertical asymptote at x=-3 and horizontal asymptote at…

A: let the function is fx=pxqx

Q: The graph of function f(x) = x – 9x² + 7x is concave upwards on (-0, c0) O (-∞, 3) O (3, 0) O None

A: Given function is  f(x)= x^3 - 9x^2 + 7x

Q: Draw the graph of g(x) = f(x + 2) below. After finishing the graph, click outside the grid to stop…

A: Known fact: The graph of y=fx+a, a&gt;0 can be obtained by shifting the graph y=fx, a units left…

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: Of (x-2)-3 Use the following graph of f(x) to sketch the requested graphs in parts a and b. B)f(-x)

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Q: у 1 0 1 T 1 X

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Q: 2. Below is a graph of f(x) = |x|. Sketch g(x) = |x| + 4 and h(x) = |x|– 3 on the same axes. How are…

A: f(x)=|x| , g(x)=|x| +4 ,h(x)= |x|-3…

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.