Graph the equation y = -x^2+ 8x – 15 on the accompanying set of axes. You must plot 5 points including the roots and the vertex. Using the graph, determine the roots of the equation –x^2 + 8x – 15 = 0.

Graph below

Step-by-step explanation:

Graph of the Quadratic Function

We are given the function:

Select 5 values of x={2,3,4,5,6}

And calculate the corresponding values of y:

We have obtained the points

(2,-3) (3,0) (4,1) (5,0) (6,-3)

Now we plot them in the graph below.

It can be noted three remarkable points:

The roots of the equation

Are x=3 and x=5.