Question

Suppose that F(x)= x^2 and G(x) 4/5 x^2. Which statements 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) stretched vertically.

b. The graph of G(x) is the graph of F(x) stretched vertically and flipped over the x-axis.

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

d. The graph of G(x) is the graph of F(x) compressed vertically and flipped over the x-axis.

Answer 1

Explanation:

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

If, for example, x = 1, then F(1) = 1^2 = 1, while G(1) = (4/5)(1^2) = 4/5.

Note that G(1) < F(1); we say G(x) is a vertical compression of F(x).