Suppose f (x) = x^2 and g (x) = (2x) ^2.

Which statement best compares te graph of g (x) with the graph of f (x) ?

A. The graph of g (x) is horizontally compressed by a factor of 2.

B. The graph of g (x) is horizontally stretched by a factor of 2.

C. The graph of g (x) is shifted 2 units to the right.

D. The graph of g (x) is vertically stretched by a factor of 2.

Question

John Ruiz

Mathematics

28 June, 07:50

Suppose f (x) = x^2 and g (x) = (2x) ^2.

Which statement best compares te graph of g (x) with the graph of f (x) ?

A. The graph of g (x) is horizontally compressed by a factor of 2.

B. The graph of g (x) is horizontally stretched by a factor of 2.

C. The graph of g (x) is shifted 2 units to the right.

D. The graph of g (x) is vertically stretched by a factor of 2.

+3

Answers (2)

Know the Answer?

Cara Ferguson · Answer 1

D

Step-by-step explanation:

The graph is stretched and becomes "skinnier". Any multiplication to the function will either stretch or compress the graph. Values less than 1 compress while values greater than 1 stretch the graph. 2>1 so f (x) is stretched to create g (x).

Bennett Parrish · Answer 2

The answer is A