Question: (a) Write an equation for a graph obtained by vertically stretching the graph of y = x 2 by a factor of 2, followed by

(a) Write an equation for a graph obtained by vertically stretching the graph of y = x2 by a factor of 2, followed by a vertical upward shift of 1 unit. Sketch it. 

(b) What is the equation if the order of the transformations (stretching and shifting) in part (a) is interchanged? 

(c) Are the two graphs the same? Explain the effect of reversing the order of transformations.

Step by Step Solution

3.44 Rating (160 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a The equation is y 2x 2 1 Note that its graph is narrower than the graph of y x ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Applied Calculus Questions!