Question

What transformation produce the graph of g(x)=5^(-x+2) from the graph of the parent function f(x)=5^x? Select all that apply.

a. reflection over the x-axis
b. reflection over the y-axis
c. horizontal shift to the left 2 units
d. horizontal shift to the right 2 units
e. vertical shift up 2 units
f. vertical shift down 2 units.

Answer 1

-x indicates a reflection over the y-axis
-x+2 = -(x-2) so a shift to the right
the question is, which was done first?
Graph the curves to verify

Answer 2

Thank you oobleck!

Answer 3

b and d