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Questions: Algebra BusinessCalculus
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List all transformations of \(\displaystyle f(x)=|x|\) to obtain the graph of \(\displaystyle g(x)=4 - 8 \left|{x - 4}\right|\)
The graph is shifted right 4 units. The graph is reflected across the \(\displaystyle x-\) axis and stretched by a factor of 8. The graph is shifted up 4 units.
\begin{question}List all transformations of $f(x)=|x|$ to obtain the graph of $g(x)=4 - 8 \left|{x - 4}\right|$
\soln{9cm}{The graph is shifted right 4 units. The graph is reflected across the $x-$ axis and stretched by a factor of 8. The graph is shifted up 4 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)=|x| " src="/equation_images/%20%5Cdisplaystyle%20f%28x%29%3D%7Cx%7C%20" alt="LaTeX: \displaystyle f(x)=|x| " data-equation-content=" \displaystyle f(x)=|x| " /> to obtain the graph of <img class="equation_image" title=" \displaystyle g(x)=4 - 8 \left|{x - 4}\right| " src="/equation_images/%20%5Cdisplaystyle%20g%28x%29%3D4%20-%208%20%5Cleft%7C%7Bx%20-%204%7D%5Cright%7C%20" alt="LaTeX: \displaystyle g(x)=4 - 8 \left|{x - 4}\right| " data-equation-content=" \displaystyle g(x)=4 - 8 \left|{x - 4}\right| " /> </p> </p><p> <p>The graph is shifted right 4 units. The graph is reflected across the <img class="equation_image" title=" \displaystyle x- " src="/equation_images/%20%5Cdisplaystyle%20x-%20" alt="LaTeX: \displaystyle x- " data-equation-content=" \displaystyle x- " /> axis and stretched by a factor of 8. The graph is shifted up 4 units.</p> </p>