Answer
Refer to the graph below.
Work Step by Step
The $x$-intercepts of the function's graph can be found by equating each factor to zero then solving each equation to obtain:
\begin{align*}
\frac{1}{5}x&=0 &\text{or}& &(x-5)^2=0\\
x&=0 &\text{or}& &x-5=0\\
x&=0 &\text{or}& &x=5\\
\end{align*}
Thus, the $x$-intercepts are $0$ and $5$.
The $y$_intercept of the function can be found by setting $x=0$ then solving for $y$:
\begin{align*}
P(0)&=\frac{1}{5}\cdot0(0-5)^2\\
P(0)&=0\\
\end{align*}
Thus, the $y$-intercept is $0$
Create a table of values to obtain the one below.
Then, plot each ordered pair and connect the points using a smooth curve.
Refer to the graph above.
