SOLUTION: A parabolic arch supports a bridge. The arch is 200 m wide at its base and 4 m tall in the middle. a) Show this information on a graph by placing the vertex on the y-axis so tha

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: A parabolic arch supports a bridge. The arch is 200 m wide at its base and 4 m tall in the middle. a) Show this information on a graph by placing the vertex on the y-axis so tha      Log On


   



Question 1060769: A parabolic arch supports a bridge. The arch is 200 m wide at its base and 4 m tall in the middle.
a) Show this information on a graph by placing the vertex on the y-axis so that the x-axis represents the base of the arch
b) How high is a point on the arch that is 20 m horizontally from one end?

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
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A parabolic arch supports a bridge. The arch is 200 m wide at its base and 4 m tall in the middle.
a) Show this information on a graph by placing the vertex on the y-axis so that the x-axis represents the base of the arch
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Vertex (0,4);
Horizontal Axis Intercepts (0,-100) and (0,100).


The vertex will indicate a standard form like y=kx%5E2%2B4;
and the zeros indicate something like y=k%28x%2B100%29%28x-100%29.

The two expressions for y should be equal.
kx%5E2%2B4=k%28x%2B100%29%28x-100%29
kx%5E2%2B4=kx%5E2-10000k
10000k=-4
k=-4%2F10000
highlight_green%28k=-1%2F2500%29

You may choose possible equations as