Question

Which of the following describes the graph of the function f(x)=(-x+3)(x-5)

Answer 1

Well, without even looking at it, I can say it's a downwards facing parabola, which roots at x = -3 and x = 5. That should do it.

Answer 2

The graph is attached to the answer.

Explanation:

The graph represents a parabola with roots in x = 3 and x = 5. Its branches go down, "x" can take any value, and "y" will be positive only in the interval 3<x<5.

The maximum value "y" can take is at point x=4.

Have a nice day!