SOLUTION: how would i find the maximun height of an arch with an equation such as h=-0.00635x^2+4.0005x-0.07875

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: how would i find the maximun height of an arch with an equation such as h=-0.00635x^2+4.0005x-0.07875      Log On


   

Question 447781: how would i find the maximun height of an arch with an equation such as h=-0.00635x^2+4.0005x-0.07875
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi

h= -0.00635x^2+4.0005x-0.07875

Note: the vertex form of a parabola, y=a%28x-h%29%5E2+%2Bk where(h,k) is the vertex

h= -0.00635x^2+4.0005x-0.07875  |Completing the square

h = -.00635[[(x-315)^2 - 99225] -.07875

h = -.00635[(x-315)^2 + 630.07875 -.07875

h = -.00635[(x-315)^2 + 630  Vertex(315,630) a = -.00635 < 0 parabola opens downward

 Maximum height is 630