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Questions: Algebra BusinessCalculus
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List all transformations of \(\displaystyle f(x)=x^{2}\) to obtain the graph of \(\displaystyle g(x)=3 \left(x - 10\right)^{2}+3\)
The graph is stretched by a factor of \(\displaystyle 3\). The graph is shifted right 10 units. The graph is shifted up 3 units.
\begin{question}List all transformations of $f(x)=x^{2}$ to obtain the graph of $g(x)=3 \left(x - 10\right)^{2}+3$
\soln{9cm}{The graph is stretched by a factor of $3$. The graph is shifted right 10 units. The graph is shifted up 3 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^{2} " src="/equation_images/%20%5Cdisplaystyle%20f%28x%29%3Dx%5E%7B2%7D%20" alt="LaTeX: \displaystyle f(x)=x^{2} " data-equation-content=" \displaystyle f(x)=x^{2} " /> to obtain the graph of <img class="equation_image" title=" \displaystyle g(x)=3 \left(x - 10\right)^{2}+3 " src="/equation_images/%20%5Cdisplaystyle%20g%28x%29%3D3%20%5Cleft%28x%20-%2010%5Cright%29%5E%7B2%7D%2B3%20" alt="LaTeX: \displaystyle g(x)=3 \left(x - 10\right)^{2}+3 " data-equation-content=" \displaystyle g(x)=3 \left(x - 10\right)^{2}+3 " /> </p> </p><p> <p>The graph is stretched by a factor of <img class="equation_image" title=" \displaystyle 3 " src="/equation_images/%20%5Cdisplaystyle%203%20" alt="LaTeX: \displaystyle 3 " data-equation-content=" \displaystyle 3 " /> . The graph is shifted right 10 units. The graph is shifted up 3 units.</p> </p>