y= -2x^2 + 4x

When they intesect, they are EQUAL.....so, let's set them equal to each other and solve for the 'x' coordinate:

-2x^2 + 4x = 2x-5

-2x^2 +2x+5 = 0

2x^2 - 2x -5 = 0

Yields x = 2.15  and  -1.16

Substitute ino the easiest equation to find the 'y' values

y= 2x-5

y= - 0.7   and  -7.32    

 

so x,y    =   2.15, -0.7     and   -1.16,-7.32