Problem

Graph $h(x)=0.5(x+2)^{2}-4$ by following these steps:
Step 1: Identify $a, h$, and $k$.
\[
a=
\]
\begin{tabular}{|l|l|}
\hline$x$ & $y$ \\
\hline & \\
& \\
\hline
\end{tabular}
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Answer

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Answer

The final values of $a$, $h$, and $k$ are $a=0.5$, $h=-2$, and $k=-4$.

Steps

Step 1 :Identify the values of a, h, and k in the given function $h(x)=0.5(x+2)^{2}-4$. The function is in the form of a quadratic function $f(x) = a(x-h)^2 + k$, where a is the coefficient of the square term, h is the value that shifts the graph horizontally, and k is the value that shifts the graph vertically.

Step 2 :In the given function, we can see that $a=0.5$, $h=-2$ (since the function is $(x+2)$, the shift is opposite in sign, so $h=-2$), and $k=-4$.

Step 3 :The final values of $a$, $h$, and $k$ are $a=0.5$, $h=-2$, and $k=-4$.

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