Suppose f (x) = x2 and g (x) = (1/4x) 2Which 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) shifted į units right.

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

factor of 4

C. The graph of g (x) is the graph of f (x) vertically stretched by a

factor of 4.

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

factor of 4.

Question

Mathematics

Rigoberto Weeks

28 December, 04:43

Suppose f (x) = x2 and g (x) = (1/4x) 2Which 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) shifted į units right.

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

factor of 4

C. The graph of g (x) is the graph of f (x) vertically stretched by a

factor of 4.

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

factor of 4.

+3

Answers (1)

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Spot · Answer 1

B.

Step-by-step explanation:

Since the variable b is manipulated in f (x) = a (bx - h) ² + k, we are dealing with horizontal compression and stretching. Since b < 1, that means the graph is being horizontally compressed.