Question

This graph shows f(x)=4x .


Which graph shows g(x)=4x−4−8 ?

Answer 1

(c) (the third of the four options)

Explanation:

`g(x) = 4^(x-4)-8`

is the original graph translated horizontally to the right and vertically down by 8 units. The y-intercept is close to -8 because

`g(0)=4^(0-4)-8 = -7(15)/(16)`

and the x-intercept is

`0 = 4^(x-4)-8\implies x=5.5`

both of which identify the 3rd chart as matching.

Answer 2

page 3 graph on the left

Explanation:

the graph will shift down 8 and to the right 4