Question

PLEASE HELP

Suppose f(x) = x2 and g(x) = 5x2. 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) horizontally stretched by a factor of 5.

B.
The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5.

C.
The graph of g(x) is the graph of f(x) vertically compressed by a factor of 5.

D.
The graph of g(x) is the graph of f(x) shifted 5 units right.

Answer 1

the graph of g(x) is the graph of f(x) vertically stretched by a factor of 5

Explanation:

Answer 2

B. The graph of g(x) is the graph of f(x) vertically stretched by a factor of 5

Explanation:

It is a quadratic and in the form:

f(x) = a(x-h)^2 + k

In this case a = 5, and if a is greater than 1, then the parabola is vertically stretched. It is not vertically compressed because a is not less than 1.

h and k are irrelevant because there are no horizontal or vertical shifts in the graph.

Therefore, when compared to f(x) = x^2, the graph has only been vertically stretched by a factor of 5.