Answer
The vertex: $(-4,520)$
Work Step by Step
Given
\begin{equation}
\begin{aligned}
y&=5 x^2+40 x+600 \\
a&= 5;\quad b= 40, \quad c= 600
\end{aligned}
\end{equation}
The $x$ and $y$ values of the vertex are given by:
\begin{equation}
\begin{aligned}
x &= -\frac{b}{2a}\\
& = -\frac{40}{2(5)}\\
&= -4\\
y& =5\cdot (-4)^2+40\cdot (-4)+600 \\
& = 520\\
\end{aligned}
\end{equation}
The vertex of the parabola is given by:$(-4,520)$ The graph is shown in the appropriate window.
