Quadratic Functions Worksheet - Math Iii, Unit 2 (Page 3 of 5) in pdf

Quadratic Functions Worksheet - Math Iii, Unit 2 Page 3

7. Robin Hood shoots an arrow. The path of an arrow can be modeled by the equation

f(x)

0.01x

0.6x 4.5

 



a) At what height was the arrow released?

b) What is the maximum height of the arrow?

c) When will the arrow hit the ground?

8. Tom throws a ball into the air. The height of the ball (in meters) is recorded at different time

intervals (in seconds) as shown in the table below.

Time (sec)

0.5

1.25

1.5

Height (meters)

5.75

6.6875

5.75

a) Using your graphing calculator, find a regression equation for this data.

b) What is the maximum height of the ball and when does it reach this height? ___________

c) When will the ball hit the ground? ________________________

d) What is an appropriate domain for this situation?

e) What is an appropriate range for this situation?

9. A small independent motion picture company determines the profit,

, for producing,

, DVD

copies of a recent release is

is the profit in thousands of dollars

and

is in thousands of units.

a. How many DVDs should the company produce to maximize the profit?

b. What will the maximum profit be?

10.

Indicate whether the graph of the equation

opens up or down. Explain how

you know.

b. Give the coordinates of the vertex and the equation of the axis of symmetry.

c. Sketch the graph of the equation.

Math III

Unit 2 Test REVIEW - Quadratic Functions

Page 3 of 5

Quadratic Functions Worksheet - Math Iii, Unit 2 Page 3