Answer
The vertex: $(-30,91)$
Work Step by Step
Given
\begin{equation}
\begin{aligned}
y&=0.01 x^2+0.6 x+100\\
a&= 0.01;\quad b= 0.6, \quad c= 100
\end{aligned}
\end{equation}
The $x$ and $y$ values of the vertex are given by:
\begin{equation}
\begin{aligned}
x &= -\frac{b}{2a}\\
& = -\frac{0.6}{2(0.01)}\\
&= -30\\
y& = 0.01\cdot (-30)^2+0.6\cdot (-30)+100 \\
& = 91\\
\end{aligned}
\end{equation}
The vertex of the parabola is given by:$(-30,91)$ The graph is shown in the appropriate window.
