SOLUTION: Find the points where y=-2x-2 intersects with parabola y=.5x^2

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Find the points where y=-2x-2 intersects with parabola y=.5x^2      Log On


   

Question 375929: Find the points where y=-2x-2 intersects with parabola y=.5x^2
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
y=-2x-2 intersects with parabola y=.5x^2
...
-2x-2 = 1/2 * x^2
..
multiply by 2
2(-2x-2)=2*x^2/2
-4x-4 = x^2
reorganize
x^2+4x+4=0
(x+2)^2=0
square root
x+2=0
x=-2.
y = -2x-2
plug value of x
y=4-2
y=2
Itintersects at (-2,2,)
graph%28300%2C300%2C-4%2C4%2C-5%2C3%2C%28x%5E2%2F2%29%2C%28-2x-2%29%29