SOLUTION: Find the equation of the normal to the curve y = –x2 + 4x at: x=-2

Algebra ->  Distributive-associative-commutative-properties -> SOLUTION: Find the equation of the normal to the curve y = –x2 + 4x at: x=-2      Log On


   

Question 1053128: Find the equation of the normal to the curve y = –x2 + 4x at:
x=-2
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
dy%2Fdx=-2x%2B4
m%5Br%5D=-2%28-2%29%2B4=0
This x=-2 is the location for the maximum point of your given parabola. The tangent line touching the parabola is horizontal at the vertex. The equation to the "normal" to the parabola would be the line perpendicular to the tangent at that same x=-2, so the equation you are looking for is, simply, highlight%28highlight%28x=-2%29%29.