Algebra 1 - Quadratic Applications NotesName ______

1) The graph at the right shows the path of a small rocket

after it is launched. The path of the rocket is given by

the equation: .

a) What is the x-axis representing?

b) What is the y-axis representing?

c) How long is the rocket in the air?

d) What was the height of the rocket at launch time?

e) About how high is the rocket after 1 second? f) What is the greatest height the rocket reaches?

g) How many seconds have gone by when the rocketh) When is the rocket 100 feet above the ground?

starts to come down?

i) After 2 seconds,j) After 6 seconds,

*About how high is the rocket?*About how high is the rocket?

*Is the rocket going up or going down?*Is the rocket going up or going down?

k) How long is the rocket above 150 feet?l) Do you think the rocket is traveling faster from

0 to 1 second or from 3 to 4 seconds. Explain.

2) A rocket carrying fireworks is lunched from a hill

80 feet above a lake. The rocket’s height above the

surface of the lake is: .

a) What is the x-axis representing?

b) What is the y-axis representing?

c) How long is the rocket in the air?

d) What was the height of the rocket at launch time?

e) About how high is the rocket after 1 second? f) What is the greatest height the rocket reaches?

g) How many seconds have gone by when the rocketh) When is the rocket 120 feet above the ground?

starts to come down?

i) After 3 seconds,*About how high is the rocket? ______*Is the rocket going up or going down? ______

3) A half pipe ramp at a skate park can be modeled

by the equation:

a) How many feet across is it from the top of one side to the other?

b) What is the height when the skater gets on the ramp?

c) How high is the skater when he has moved 2 ft horizontally?

d) The lowest point of the graph is (3,0). Explain what both of

those numbers represent.

4) A rock is thrown form the top of a tall building. The

Equation for the path of the ball is: .

a) What is the x-axis representing?

b) What is the y-axis representing?

c) How long did it take for the rock to hit the ground?

d) What was the height of the rock when it was thrown?

e) About how high is the rock at 2 seconds?

g) How many seconds have gone by when the rockh) When is the rock 240 feet above the ground?

starts to come down?

i) After 2 seconds,l) Do you think the rock is traveling faster from *About how high is the rock? 0 to 1 second or from 4 to 5 seconds. Explain.

*Is the rock going up or going down?