Question

This graph shows f(x)=4x . Which graph shows g(x)=4x−4−8 ?

Answer 1

Answer:

page 3 graph on the left

Step-by-step explanation:

the graph will shift down 8 and to the right 4

Answer 2

Answer:

(c) (the third of the four options)

Step-by-step 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

$g(0)=4^{0-4}-8 = -7\frac{15}{16}$

and the x-intercept is

$0 = 4^{x-4}-8\implies x=5.5$

both of which identify the 3rd chart as matching.