Suppose that F (x) = x^3 and G (x) = (4x) ^3 - 5. Which statement best compares the graphs of F (x) and G (x) ?

A. The graph of G (x) is the graph of F (x) stretched vertically and shifted 5 units down.

B. The graph of G (x) is the graph of F (x) stretched horizontally and shifted 5 units down.

C. The graph of G (x) is the graph of F (x) compressed vertically and shifted 5 units down.

D. The graph of G (x) is the graph of F (x) compressed horizontally and shifted 5 units down.

Question

Mathematics

Frank Richardson

29 July, 01:49

Suppose that F (x) = x^3 and G (x) = (4x) ^3 - 5. Which statement best compares the graphs of F (x) and G (x) ?

A. The graph of G (x) is the graph of F (x) stretched vertically and shifted 5 units down.

B. The graph of G (x) is the graph of F (x) stretched horizontally and shifted 5 units down.

C. The graph of G (x) is the graph of F (x) compressed vertically and shifted 5 units down.

D. The graph of G (x) is the graph of F (x) compressed horizontally and shifted 5 units down.

+2

Answers (1)

Know the Answer?

Angeline Parks · Answer 1

We have that

F (x) = x^3 and G (x) = (4x) ^3 - 5

so

G (x) = F (4x) - 5

the visual effect is

1) shrink horizontally by 1/4

2) shift down by 5

therefore

the answer is the option

D. The graph of G (x) is the graph of F (x) compressed horizontally and shifted 5 units down.