Name: ______________________________________________
Date: ____________________
Period: _____
Algebra 1
Assignment 48: Making Predictions with Quadratics
A tennis ball is thrown up in the air and then falls to the ground. The graph shows the height of the ball as time
passes by.
28
1. What is the maximum height of the tennis ball?
26
24
2. What is the initial height of the tennis ball?
22
20
18
3. After how many seconds does the ball hit the ground?
16
14
4. How high was the ball after 1 second?
12
10
8
5. How high was the ball after 2.5 seconds?
6
4
6. When was the ball 19 feet off the ground?
2
7. When was the ball 27 feet off the ground?
A basketball player tries to make a half-court shot but completely misses the basket, and the ball hits the floor.
The path of the basketball is modeled by the function 𝒉(𝒕) = −𝟖𝒕𝟐 + 𝟐𝟒𝒕 + 𝟕 where h is the height of the
ball above the floor and t is the time in seconds after the ball leaves the player’s hands.
8. What is the initial height of the basketball?
9. Approximately how much time passes before the ball hits the floor?
10. What is the height of the basketball after 1 second?
11. What is the maximum height the ball reaches?
12. When does the basketball reach its maximum height?
13. When was the basketball 7 feet off above the floor?
14. How much time elapses while the ball is 7 feet or more above the floor?
15. A coin is thrown off of the top of the Statue of Liberty, which is 305 feet from the ground. The height,
h, of the coin is recorded after each second, t, in the table below.
Linear or quadratic? ________________________
Equation: ________________________________
Height of the coin after 7 sec? _______________
t
h
0
305
1
367
2
397
3
395
4
361
16. A real-estate agent is trying to determine the relationship between the distance a 3-bedroom home is
from New York City and its average selling price. He records the data as x, the number of miles from
x
y
NYC, and y, the cost of the home, for 6 homes shown below.
Linear or quadratic? ________________________
Equation: ________________________________
Approximate cost of home 90 miles from NYC? _______________
10
755,000
35
650,000
50
580,000
65
505,000
75
475,000
120
285,000
17. A football is kicked into the air with an initial upward velocity of 82 feet per second. Its height, h (in
feet), is recorded at various seconds, t, in the table below.
t
h
Linear or quadratic? ________________________
Equation: ________________________________
Height of the football after 5 sec? _______________
18. A frog is jumping onto a lilly pad. It’s height, h
(in feet) is
recorded at various seconds, t, in the table
below.
What is the height of the frog after 6 seconds?
0
0
1
66
2
100
3
102
4
72
19. The table below shows the number of students
enrolled at Temple College since 2010.
Estimate the number of students to enroll in
2017?
t
h
t
h
0
2
2010
2892
1
4.5
2011
3042
2
6
2012
3087
3
6.5
2013
3136
4
6
2014
3296
20. When Joey dives off a diving board, the equation of his path can be modeled by
ℎ(𝑡) = −2𝑡 2 + 4𝑡 + 8 where ℎ(𝑡) represents his height in feet after 𝑡 seconds.
What is Joey’s maximum height?
How long will it take for Joey to reach the water?