Suppose f (x) = x^2 and g (x) = (1/3x) ^2. Which statement best compares the graph of g (x) with the graph of f (x) ?

A. The graph of g (x) is shifted 3 units to the right.

B. The graph of g (x) is horizontally stretched by a factor of 3.

C. The graph of g (x) is horizontally compressed by a factor of 3.

D. The graph of g (x) is vertically compressed by a factor of 3.

Question

Mathematics

Corinne Watson

12 March, 07:42

Suppose f (x) = x^2 and g (x) = (1/3x) ^2. Which statement best compares the graph of g (x) with the graph of f (x) ?

A. The graph of g (x) is shifted 3 units to the right.

B. The graph of g (x) is horizontally stretched by a factor of 3.

C. The graph of g (x) is horizontally compressed by a factor of 3.

D. The graph of g (x) is vertically compressed by a factor of 3.

+4

Answers (1)

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Sydnee Orr · Answer 1

Since it would be (1/3) squared, it would be a vertical compression of 9. since the x is not the output, it would make a horizontal stretch factor of 3.