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Use \(\displaystyle f(x) = 4 x^{2} - 7 x - 4\) to evaluate:

Evaluating the function at \(\displaystyle x = 2\) gives \(\displaystyle f(2) = 4 (2)^{2} - 7 (2) - 4 = -2\).
Evaluating the function at \(\displaystyle x = - x\) gives \(\displaystyle f(- x) = 4 (- x)^{2} - 7 (- x) - 4 = 4 x^{2} + 7 x - 4\).
Evaluating the function at \(\displaystyle x = 2 - t\) gives \(\displaystyle f(2 - t) = 4 (2 - t)^{2} - 7 (2 - t) - 4 = 4 t^{2} - 9 t - 2\).

Download \(\LaTeX\) 

\begin{question}Use $f(x) = 4 x^{2} - 7 x - 4$ to evaluate:\newline
\begin{tabular}{|l|}\hline
$f(2)$ \\ \hline
$f(- x)$ \\ \hline
$f(2 - t)$ \\ \hline
\end{tabular}\newline

    \soln{9cm}{Evaluating the function at $x = 2$ gives $f(2) = 4 (2)^{2} - 7 (2) - 4 = -2$.\newline
 Evaluating the function at $x = - x$ gives $f(- x) = 4 (- x)^{2} - 7 (- x) - 4 = 4 x^{2} + 7 x - 4$.\newline
 Evaluating the function at $x = 2 - t$ gives $f(2 - t) = 4 (2 - t)^{2} - 7 (2 - t) - 4 = 4 t^{2} - 9 t - 2$.\newline
 }

\end{question}

Download Question and Solution Environment\(\LaTeX\)
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\begin{document}\begin{question}(10pts) The question goes here!
    \soln{9cm}{The solution goes here.}

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HTML for Canvas 
<p> <p>Use  <img class="equation_image" title=" \displaystyle f(x) = 4 x^{2} - 7 x - 4 " src="/equation_images/%20%5Cdisplaystyle%20f%28x%29%20%3D%204%20x%5E%7B2%7D%20-%207%20x%20-%204%20" alt="LaTeX:  \displaystyle f(x) = 4 x^{2} - 7 x - 4 " data-equation-content=" \displaystyle f(x) = 4 x^{2} - 7 x - 4 " />  to evaluate:<br>
</p> </p>
HTML for Canvas
<p> <p>Evaluating the function at  <img class="equation_image" title=" \displaystyle x = 2 " src="/equation_images/%20%5Cdisplaystyle%20x%20%3D%202%20" alt="LaTeX:  \displaystyle x = 2 " data-equation-content=" \displaystyle x = 2 " />  gives  <img class="equation_image" title=" \displaystyle f(2) = 4 (2)^{2} - 7 (2) - 4 = -2 " src="/equation_images/%20%5Cdisplaystyle%20f%282%29%20%3D%204%20%282%29%5E%7B2%7D%20-%207%20%282%29%20-%204%20%3D%20-2%20" alt="LaTeX:  \displaystyle f(2) = 4 (2)^{2} - 7 (2) - 4 = -2 " data-equation-content=" \displaystyle f(2) = 4 (2)^{2} - 7 (2) - 4 = -2 " /> .<br>
 Evaluating the function at  <img class="equation_image" title=" \displaystyle x = - x " src="/equation_images/%20%5Cdisplaystyle%20x%20%3D%20-%20x%20" alt="LaTeX:  \displaystyle x = - x " data-equation-content=" \displaystyle x = - x " />  gives  <img class="equation_image" title=" \displaystyle f(- x) = 4 (- x)^{2} - 7 (- x) - 4 = 4 x^{2} + 7 x - 4 " src="/equation_images/%20%5Cdisplaystyle%20f%28-%20x%29%20%3D%204%20%28-%20x%29%5E%7B2%7D%20-%207%20%28-%20x%29%20-%204%20%3D%204%20x%5E%7B2%7D%20%2B%207%20x%20-%204%20" alt="LaTeX:  \displaystyle f(- x) = 4 (- x)^{2} - 7 (- x) - 4 = 4 x^{2} + 7 x - 4 " data-equation-content=" \displaystyle f(- x) = 4 (- x)^{2} - 7 (- x) - 4 = 4 x^{2} + 7 x - 4 " /> .<br>
 Evaluating the function at  <img class="equation_image" title=" \displaystyle x = 2 - t " src="/equation_images/%20%5Cdisplaystyle%20x%20%3D%202%20-%20t%20" alt="LaTeX:  \displaystyle x = 2 - t " data-equation-content=" \displaystyle x = 2 - t " />  gives  <img class="equation_image" title=" \displaystyle f(2 - t) = 4 (2 - t)^{2} - 7 (2 - t) - 4 = 4 t^{2} - 9 t - 2 " src="/equation_images/%20%5Cdisplaystyle%20f%282%20-%20t%29%20%3D%204%20%282%20-%20t%29%5E%7B2%7D%20-%207%20%282%20-%20t%29%20-%204%20%3D%204%20t%5E%7B2%7D%20-%209%20t%20-%202%20" alt="LaTeX:  \displaystyle f(2 - t) = 4 (2 - t)^{2} - 7 (2 - t) - 4 = 4 t^{2} - 9 t - 2 " data-equation-content=" \displaystyle f(2 - t) = 4 (2 - t)^{2} - 7 (2 - t) - 4 = 4 t^{2} - 9 t - 2 " /> .<br>
 </p> </p>