Suppose f (x) = x^2 and g (x) = 1/4x^2. 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) vertically stretched by a

factor of 4.

B. The graph of g (x) is the graph of f (x) shifted 1/4 units right.

C. The graph of g (x) is the graph of f (x) horizontally stretched by a factor of 4.

D. The graph of g (x) is the graph of f (x) horizontally compressed by a

factor of 4.

Question

Elliott

Mathematics

9 June, 08:24

Suppose f (x) = x^2 and g (x) = 1/4x^2. 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) vertically stretched by a

factor of 4.

B. The graph of g (x) is the graph of f (x) shifted 1/4 units right.

C. The graph of g (x) is the graph of f (x) horizontally stretched by a factor of 4.

D. The graph of g (x) is the graph of f (x) horizontally compressed by a

factor of 4.

+1

Answers (1)

Know the Answer?

Volvo · Answer 1

Step-by-step explanation:

Statement A is closest to being correct. To get the graph of g (x), we compress the graph of f (x) vertically due to multiplying f (x) by (1/4).