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

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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)   (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, 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

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