# How do you solve #y = 2x - x^2# graphically?

##### 1 Answer

Apr 20, 2017

Graph the function and find the x-intercepts. The x-values of the x-intercepts are the solution. If their are no x-intercepts, there are no solutions.

#### Explanation:

Given:

This equation is a parabola:

graph{2x-x^2 [-10, 10, -5, 5]}

From the graph the x-intercepts are:

This means the solutions to the equation are the