Suppose $ f(x)=x^{2} $ and $ g(x)=\left(\frac{1}{3} x\right)^{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 $ 3 . $
B. The graph of $ g(x) $ is the graph of $ f(x) $ horizontally stretched by a factor of 3 .
C. The graph of $ g(x) $ is the graph of $ f(x) $ horizontally compressed by a factor of 3 .
D. The graph of $ g(x) $ is the graph of $ f(x) $ shifted $ \frac{1}{3} $ units right.

Question

Suppose $ f(x)=x^{2} $ and $ g(x)=\left(\frac{1}{3} x\right)^{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 $ 3 . $
B. The graph of $ g(x) $ is the graph of $ f(x) $ horizontally stretched by a factor of 3 .
C. The graph of $ g(x) $ is the graph of $ f(x) $ horizontally compressed by a factor of 3 .
D. The graph of $ g(x) $ is the graph of $ f(x) $ shifted $ \frac{1}{3} $ units right.

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absolutely FOR FREE!