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Questions: Algebra BusinessCalculus
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List all transformations of \(\displaystyle f(x)=\frac{1}{x}\) to obtain the graph of \(\displaystyle g(x)=\frac{4}{x - 8}+9\)
The graph is stretched by a factor of \(\displaystyle 4\). The graph is shifted right 8 units. The graph is shifted up 9 units.
\begin{question}List all transformations of $f(x)=\frac{1}{x}$ to obtain the graph of $g(x)=\frac{4}{x - 8}+9$
\soln{9cm}{The graph is stretched by a factor of $4$. The graph is shifted right 8 units. The graph is shifted up 9 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)=\frac{1}{x} " src="/equation_images/%20%5Cdisplaystyle%20f%28x%29%3D%5Cfrac%7B1%7D%7Bx%7D%20" alt="LaTeX: \displaystyle f(x)=\frac{1}{x} " data-equation-content=" \displaystyle f(x)=\frac{1}{x} " /> to obtain the graph of <img class="equation_image" title=" \displaystyle g(x)=\frac{4}{x - 8}+9 " src="/equation_images/%20%5Cdisplaystyle%20g%28x%29%3D%5Cfrac%7B4%7D%7Bx%20-%208%7D%2B9%20" alt="LaTeX: \displaystyle g(x)=\frac{4}{x - 8}+9 " data-equation-content=" \displaystyle g(x)=\frac{4}{x - 8}+9 " /> </p> </p><p> <p>The graph is stretched by a factor of <img class="equation_image" title=" \displaystyle 4 " src="/equation_images/%20%5Cdisplaystyle%204%20" alt="LaTeX: \displaystyle 4 " data-equation-content=" \displaystyle 4 " /> . The graph is shifted right 8 units. The graph is shifted up 9 units.</p> </p>