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select all that applyA. Vertically stretch by a factor of 3.B. Vertically compress by a factor of 3.c. Shift right 1 unit.D. Shift down 1 unit.

select all that applyA. Vertically stretch by a factor of 3.B. Vertically compress-example-1
User Hoball
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1 Answer

23 votes
23 votes

A vertical stretch/compression is given by the transformation below


\begin{gathered} h(x)\rightarrow a*h(x) \\ a>1\rightarrow\text{ stretch by a factor of a} \\ 0And a vertical shift is given by the following transformation[tex]\begin{gathered} h(x)\rightarrow h(x)+b \\ b>0\rightarrow\text{ b units up} \\ b<0\rightarrow\text{ b units down} \end{gathered}

Therefore, in our case,


\begin{gathered} f(x)=x\rightarrow(1)/(3)x\Rightarrow\text{ vertical compression by a factor of 3} \\ (1)/(3)x\rightarrow(1)/(3)x-1=g(x)\rightarrow\text{ vertical shift 1 unit down} \end{gathered}

Thus, the answer is options B and D

User Volodymyr Bezuglyy
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