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

1 Answer
marfre
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.
#x = 0, x = 2#

Explanation:

Given: #y = 2x - x^2#

This equation is a parabola:
graph{2x-x^2 [-10, 10, -5, 5]}

From the graph the x-intercepts are: #(0,0) " & " (2, 0)#

This means the solutions to the equation are the #x# values of the #x#-intercepts: #x = 0, x = 2#

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