Question

A bridge over a river is supported by an arch. The function that describes the arch us h(x) = -0.0274x^2 + 1.34033x, where h(x) is the height, in metres, of the arch above the water at any distance, x, in metres, from one end of the bridge. Could a sail boat with an 18m mast sail under the bridge.

Answer 1

Convert equation to its canonical form by completing squares:
h(x) = -0.0274x^2 + 1.34033x
=-0.0274(x-24.46)²+16.3913
which means that the vertex is located at (24.46,16.3913).
Determine if the vessel can goes through.

Answer 2

Did it go through?