Suppose that F (x) = x3 and G (x) = - 4x3-5. Which statement best compares the graph of G (x) with the graph of F (x) ?

A. The graph of G (x) is the graph of A (x) compressed vertically,

flipped over the x-axis, and shifted 5 units to the right.

B. The graph of G (x) is the graph of Ax) stretched vertically, flipped

over the x-axis, and shifted 5 units down.

C. The graph of G (x) is the graph of Ax) compressed vertically,

flipped over the x-axis, and shifted 5 units down.

D. The graph of G (x) is the graph of Ax) stretched vertically, flipped

over the x-axis, and shifted 5 units to the right.

Question

Mathematics

Jason Dudley

18 January, 08:24

Suppose that F (x) = x3 and G (x) = - 4x3-5. Which statement best compares the graph of G (x) with the graph of F (x) ?

A. The graph of G (x) is the graph of A (x) compressed vertically,

flipped over the x-axis, and shifted 5 units to the right.

B. The graph of G (x) is the graph of Ax) stretched vertically, flipped

over the x-axis, and shifted 5 units down.

C. The graph of G (x) is the graph of Ax) compressed vertically,

flipped over the x-axis, and shifted 5 units down.

D. The graph of G (x) is the graph of Ax) stretched vertically, flipped

over the x-axis, and shifted 5 units to the right.

+2

Answers (1)

Know the Answer?

Lauryn · Answer 1

Answer is B

Step-by-step explanation:

F (x) is first stretched by factor 4 from '4x³';

It is then reflected in the x-axis, since it is '-4x³';

Lastly, it is shifted down 5 units, because of the '-5'.