Question

What is the effect on the graph of the function f(x) = x^3 when f(x) is changed to f(x + 8)?

A) translates 8 units upB) translates 8 units downC) translates 8 units leftD) translates 8 units right

Answer 1

Explanation:

C it translates the whole curve 8 units left.

simply because f(x+8) means that at the position x we get the functional result that should normally happen at the position x+8. but so, it happens 8 units "earlier". therefore, a shift to the left.

f(x-8) would be a shift to the right by 8 units.

f(x) + 8 would be a shift up by 8 units.

f(x) - 8 would be a shift down by 8 units.

oh, and -f(x) would flip it upside-down.

Answer 2

D

Explanation:

Because you are adding to it so it would be a positive