Question

The graph of F(x) can be compressed vertically and shifted to the right to produce the graph of G(X). If f(x) = x^3 which of the following could be the equation of G(X)?

A. G(X) = 1/(x+3)
B. Gx) = (x-3)
C. G(X) = 4x+3)
D. G(X) = 4(x-3)

Answer 1

The equation of G(X) is G(X) = 4(x-3).

Step-by-step explanation:

To compress the graph of F(x) = x^3 vertically, we need to multiply the function by a constant less than 1. To shift the graph of F(x) to the right, we subtract a constant from the input variable. The equation of G(X) could be G(X) = 4(x-3) (option D) because it compresses the graph vertically by a factor of 4 and shifts it 3 units to the right.