SOLUTION: What is the x,y coordinates of: y=x^2+4x+4 y=-2x-5

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Question 1030857: What is the x,y coordinates of:
y=x^2+4x+4 y=-2x-5

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
If you are asking what are the coordinates of their intersection, we substitute in for y and solve for x...we get
-2x - 5 = x^2 + 4x + 4
x^2 + 6x + 9 = 0
(x+3)(x+3) = 0
x = -3
Tells me the line is tangent to the curve.
If x = -3, then
y = -2(-3) - 5 = 6 - 5 = 1
They intersect at
(-3, 1)