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Questions: Algebra BusinessCalculus
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List all transformations of \(\displaystyle f(x)=\left|{x}\right|\) to obtain the graph of \(\displaystyle g(x)=8 \left|{x - 1}\right|-2\)
The graph is stretched by a factor of \(\displaystyle 8\). The graph is shifted right 1 units. The graph is shifted down 2 units.
\begin{question}List all transformations of $f(x)=\left|{x}\right|$ to obtain the graph of $g(x)=8 \left|{x - 1}\right|-2$
\soln{9cm}{The graph is stretched by a factor of $8$. The graph is shifted right 1 units. The graph is shifted down 2 units.}
\end{question}
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\begin{document}\begin{question}(10pts) The question goes here!
\soln{9cm}{The solution goes here.}
\end{question}\end{document}<p> <p>List all transformations of <img class="equation_image" title=" \displaystyle f(x)=\left|{x}\right| " src="/equation_images/%20%5Cdisplaystyle%20f%28x%29%3D%5Cleft%7C%7Bx%7D%5Cright%7C%20" alt="LaTeX: \displaystyle f(x)=\left|{x}\right| " data-equation-content=" \displaystyle f(x)=\left|{x}\right| " /> to obtain the graph of <img class="equation_image" title=" \displaystyle g(x)=8 \left|{x - 1}\right|-2 " src="/equation_images/%20%5Cdisplaystyle%20g%28x%29%3D8%20%5Cleft%7C%7Bx%20-%201%7D%5Cright%7C-2%20" alt="LaTeX: \displaystyle g(x)=8 \left|{x - 1}\right|-2 " data-equation-content=" \displaystyle g(x)=8 \left|{x - 1}\right|-2 " /> </p> </p><p> <p>The graph is stretched by a factor of <img class="equation_image" title=" \displaystyle 8 " src="/equation_images/%20%5Cdisplaystyle%208%20" alt="LaTeX: \displaystyle 8 " data-equation-content=" \displaystyle 8 " /> . The graph is shifted right 1 units. The graph is shifted down 2 units.</p> </p>