Parabola Review Worksheet P. 2

For each of the following parabolas, y = ax2 + bx + c , write >0 positive, <0 negative or =0

b2 - 4ac

- 4ac

- 4ac

2a

Word Problems: 1.) An arrow is shot straight up from a window 96 feet above the ground with an initial velocity of 80 ft/second. It's height above the ground is given by the formula

s(t) = -16t a.) What is the height of the arrow above the ground at t = 1 sec?_ b,) Find the highest point the arrow reaches?^ point?

t = 3 sec?

When does it reach its highest

c.) Find when the arrow will hit the ground _ 2.) The annual profits (in millions of dollars) of a new computer software company are given by the equation: P(x) = -l +.5x-.01x 2 a.) Find the company profit at 2 years?

at 3 years?_

at 5 years?

b.) Find the year number the company will make its maximum profit and find the maximum profit?