SOLUTION: Determine the equation of the line that passes through the points of intersection of the quadratic function f(x) = x^2 - 4 and G(x) = -3x^2 +2x +8

Algebra ->  Algebra  -> Graphs -> SOLUTION: Determine the equation of the line that passes through the points of intersection of the quadratic function f(x) = x^2 - 4 and G(x) = -3x^2 +2x +8      Log On

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Question 355614: Determine the equation of the line that passes through the points of intersection of the quadratic function f(x) = x^2 - 4 and G(x) = -3x^2 +2x +8
Answer by edjones(7569) About Me  (Show Source):
You can put this solution on YOUR website!
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%28500%2C500%2C-10%2C10%2C-10%2C10%2Cx%5E2-4%2C-3x%5E2%2B2x%2B8%29