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A. The graph of K(x) is the graph of f(x) vertically stretched by a factor of 7.B. The graph of k(x) is the graph of f(x) vertically compressed by a factor of 7.C. The graph of k(x) is the graph of f(x) shifted 7 units right.D. The graph of k(x) is the graph of f(x) horizontally compressed by a factor of 7.

A. The graph of K(x) is the graph of f(x) vertically stretched by a factor of 7.B-example-1
User DJ Quimby
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1 Answer

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In general, given a function g(x), a vertical stretch/compression is given by the transformation below


\begin{gathered} g(x)\rightarrow ag(x) \\ a>1\rightarrow\text{ stretch} \\ 0Therefore, in our case,[tex]\begin{gathered} k(x)=(1)/(7)x^2=(1)/(7)f(x) \\ and \\ 0<(1)/(7)<1 \end{gathered}

Thus, the answer is option B, a vertical compression by a factor of 7.

User Nikhil VJ
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