The equation and graph of a polynomial are shown below. The graph reachesits maximum when the value of xis 1. What is the yvalue of this maximum?

Given:
The graph and equation of polynomial is given.
The maximum value of the graph is at x=1.
We have to find the y value of its maximum.
Now,
The equation of polynomial is :
[tex]y=-x^2+2x[/tex]Put x=1 in the equation above, we get:
[tex]\begin{gathered} y=-(1)^2+2\times1 \\ =-1+2 \\ =1 \end{gathered}[/tex]Hence, the y value of this maximum is 1 or y=1.