You live under a bridge that goes over a river. the underneath side of the bridge is an arc that can be modeled with the function y=-0.000407x^2+0.658x.Where x and y are in feet. How high is the bridge? How long is the section of bridge above the arc?

Answer 1

the height is the y-value at the vertex, where x = .658/.000814

Since y = x(.658-.000407x)
the roots are at 0 and 1616.7
The bridge spans that distance