Question 355614
We let the equations y coordinates be equal.
x^2-4=-3x^2+2x+8
-4x^2+2x+12=0
x=-1.5, x=2 Quadratic formula.
To find the y coordinate we can use either of the original equations.
x^2-4
=(-1.5)^2-4
=2.25-4
=-1.75
.
2^2-4=0
.
(-1.5, -1.75), (2, 0) the 2 points of intersection.
.
Ed
.
{{{graph(500,500,-10,10,-10,10,x^2-4,-3x^2+2x+8)}}}