Question

Describe the translation in y=cos(x-^pi)-3

a. right pi units, down 3 units

b. left pi units, down 3 units

c. right pi units, up 3 units

d. left pi units, up 3 units

Answer 1

We start with the "parent" function y=cos(x).

Now apply the horizontal shift y=cos(x-π), when x=π, and x-π=0, and y=cos(x-π)=1, which is the same as when x=0 using y=cos(x). This is a right (phase) shift of π.

The vertical shift is 3 units down.

Answer a.