Consider the function f(x)=2x.a) Write the equation for the function g(x) obtained by shifting f(x) three units to the up.b) Determine the domain and range of g(x).c) Now, consider h(x)=−2x. Describe the transformation applied to f(x) to obtain h(x).d) Sketch the graphs of f(x), g(x), and h(x) on the same set of axes.

Given the function s(x)=4x,a) Write the equation for the function t(x) obtained by reflecting s(x) across the y-axis and shifting itdown by four units.b) Determine the domain and range of t(x).c) Sketch the graphs of s(x) and t(x) on the same set of axes.

Given the function p(x)=3x,a) Write the equation for the function q(x) obtained by dilating p(x) vertically by a factor of ଵଶ.b) Determine the y intercept domain and range q(x).c) Now, let r(x)=2⋅3x. Describe the transformation applied to p(x) to obtain r(x).d) Sketch the graphs of p(x), q(x), and r(x) on the same set of axes.

How does the graph of 𝑓(𝑥)=−32𝑥−4f(x)=−3 2x −4 differ from the graph of 𝑔(𝑥)=−32𝑥g(x)=−3 2x ?A.The graph of 𝑓(𝑥)f(x) is shifted four units to the right of the graph of 𝑔(𝑥)g(x).B.The graph of 𝑓(𝑥)f(x) is shifted four units down from the graph of 𝑔(𝑥)g(x).C.The graph of 𝑓(𝑥)f(x) is shifted four units up from the graph of 𝑔(𝑥)g(x).D.The graph of 𝑓(𝑥)f(x) is shifted four units to the left of the graph of 𝑔(𝑥)g(x).SUBMITarrow_backPREVIOUS

The graph of  is shifted 5 units _________ of g(x) - axis and 3 units __________ of x - axis.A Right, Up B Right, Down C Left, Down D Right, Right

Instructions: For the given function, state the type of shift you would expect to see in its graph and the direction and number of units.y=(x−1)2𝑦=(𝑥−1)2The graph of this function would show a Answer 1 Question 10 shift Answer 2 Question 10 Answer 3 Question 10 units from the parent function y=x2𝑦=𝑥2.