Question

Suppose f(x) = x² and g(x) = (3x)2. Which statement best compares the graph

of g(x) with the graph of f(x)?
A. The graph of g(x) is horizontally stretched by a factor of 3.
B. The graph of g(x) is shifted 3 units to the right.
C. The graph of g(x) is horizontally compressed by a factor of 3.
D. The graph of g(x) is vertically stretched by a factor of 3.
SUBMIT

Answer 1

d. The graph of g(x) is vertically stretched by a factor of three

Explanation:

the above two functions represents a parabola.

4ab^2

i the first case that of f(x)

a=1/4= 0.25

in the second case of g(x)

a=9/4

the value a describes the semi major axis or the length of the parabola vertically.

thus d. Is the correct option.