# Quadratic Functions and Graphs

Need help with attached word problems (see attachment for full details)

1. During the championship soccer game, the goalkeeper, Brandon,

kicked the ball straight up to the Mid-Fielder, Alex, with an initial velocity of 32 feet per second. The height of the ball relative to the ground is a function of time given by the following equation:

Graph this function for these conditions:

a. t is greater than or equal to 0

b. t is less than 0

What is the maximum height reached by this soccer ball?

2. A manufacturing company uses the following function to model the unit cost in dollars to produce the x number of toys.

For what number of toys is the unit cost at its minimum? What is the unit cost at that level of production?

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#### Solution Preview

Hi,

please find the solutions/explanations attached.

Thanks,

1. During the championship soccer game, the goalkeeper, Brandon,

kicked the ball straight up to the Mid-Fielder, Alex, with an initial velocity of 32 feet per second. The height of the ball relative to the ...

#### Solution Summary

A step by step solution is provided to word problems on quadratic functions.