Question

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.

Answer 1

Answer is B

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'.