Practice Finding Quadratic Equations Page 2

Date: ____________________

Name: _______________________

A ball is thrown upward from the roof of a 25 m building. The ball reaches a height of 45 m above the ground after 2 sec and hits

the ground 5 sec after being thrown. Find the equation of the parabola the models this situation.

10. The Ambassador Bridge in Windsor,

b) Determine an equation for the quadratic

Ontario, has a parabola shape. The road surface spans a

relation that describes the road surface

length of 2800 m and has a maximum height of 46 m.

in factored form

a) Sketch a graph of the relation that can

be used to describe the roadway, using

the y-axis as the axis of symmetry and

placing the base of the bridge at the x-axis.

in vertex form

c) If the road surface is to pass each of two support pillars at a height of 30 m, how far from each end should the supports be

placed, to the nearest metre?

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