Answer
The vertex:$(2.5,185)$
Work Step by Step
\begin{equation}
\begin{aligned}
y&=-4 x^2+20 x+160 \\
a&= -4;\quad b= 20, \quad c= 160
\end{aligned}
\end{equation}
The $x$ and $y$ values of the vertex are given by:
\begin{equation}
\begin{aligned}
x &= -\frac{b}{2a}\\
& = -\frac{20}{2(-4)}\\
&= 2.5\\
y& =-4\cdot (2.5)^2+20\cdot (2.5)+160 \\
& = 185\\
\end{aligned}
\end{equation}
The vertex of the parabola is given by:$(2.5,185)$
