Question

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?

Answer 1

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 :

`y=-x^2+2x`

Put x=1 in the equation above, we get:

`\begin{gathered} y=-(1)^2+2*1 \\ =-1+2 \\ =1 \end{gathered}`

Hence, the y value of this maximum is 1 or y=1.