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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 Kx Is The Graph Of Fx Vertically Stretched By A Factor Of 7B The Graph Of Kx Is The Graph Of Fx Vertically Compressed By A Factor Of 7C The Graph class=

Sagot :

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

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

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

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