Question

Suppose that F(x) = x^3 and G(X) = -3x^3. 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 F(x) flipped over the y-axis and
compressed vertically.
B. The graph of G(x) is the graph of F(x) flipped over the x-axis and
compressed vertically.
C. The graph of G(X) is the graph of F(x) flipped over the x-axis and
stretched vertically.
D. The graph of G(x) is the graph of F(x) flipped over the yaxis and
stretched vertically.

Answer 1

D. The graph of G(x) is the graph of F(x) flipped over the y-axis and

stretched vertically.

Explanation:

since there is a negative, there must be a reflection. the reflection is over the y-axis because it is outside the x-value (-F(x) not F(-x))

the same goes for the vertical stretch. we know it is a vertical stretch because the 3 is outside the x-value (3F(x) not F(3x))