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Key Features in Context

Total questions: 20

Worksheet time: 34mins

Name
Class
Date
1.

The equation h(t)=−16t2+96t+20h\left(t\right)=-16t^2+96t+20 represents the height of a ball launched off a platform. Interpret the y-intercept, x-intercept and vertex. (Match)

a)

y-intercept

1.

The ball is launched from 20 feet

b)

x-intercept

2.

The ball hits the ground in 6.2 seconds.

c)

vertex

3.

Reaches a max of 164 feet in 3 seconds.

2.

When did the water reach its maximum height?

Choose the best answer.

a)

2 seconds

b)

9 seconds

c)

0 seconds

d)

3.8 seconds

3.

A baseball is hit into the air. The height of the baseball, in feet, as a function of time, in seconds, is represented in the graph. In the context of the problem, what is the meaning of (5, 246)?

a)

The maximum height is 246 feet.

b)

After 246 seconds, the baseball is 5 feet in the air.

c)

After 5 seconds, the baseball is 246 feet in the air.

d)

The baseball hits the ground at 5 seconds.

4.
Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec.  This can be modeled with the function h(t) = -16t2 + 96t.  What is the maximum height?
a)
145 feet
b)
160 feet
c)
130 feet
d)
135 feet
5.
Why does the point (0 , -1) make no sense to have on this graph?
a)
The football cannot be at 0 feet
b)
The football cannot be at -1 feet
c)
There cannot be -1 seconds
d)
There is nothing wrong with the point, it does make sense.
6.
About how long did it take the football to hit the ground (0 feet)?
a)
About 3 seconds
b)
About 0 seconds
c)
About 1.3 Seconds
d)
About 2.6 Seconds
7.
Members of the math club launch a model rocket from ground level with an initial velocity of 96 ft/sec.  This can be modeled with the function h(t) = -16t2 + 96t.  What is the maximum height?
a)
145 feet
b)
160 feet
c)
130 feet
d)
135 feet
8.

What key feature tells the initial height of the roller coaster?

a)

y-intercept

b)

root

c)

axis of symmetry

d)

vertex

9.

This graph shows the height of a soccer ball in feet over time in seconds. Which statement is true?

a)

The soccer ball hits the ground again at 6 seconds.

b)

The soccer ball reaches a minimum point at 3 seconds.

c)

The soccer ball starts at a height of 4 feet.

d)

The soccer ball stays on the ground the whole time.

10.

What was the maximum height of the ball?

a)

3 feet

b)

6 feet

c)

4 feet

d)

5 feet

11.
What is the domain of the parabola created by the ball?
a)
Domain : 0 ≤ d ≤ 280
b)
Domain : 0 ≤ h ≤ 150
c)
Domain : 0 ≤ d ≤ 570
d)
Domain : 0 ≤ h ≤ 280
12.
What is the range of the graph?
a)
All real numbers
b)
0 ≤ x ≤ 4
c)
0 ≤ x ≤ 2000
d)
0 ≤ y ≤ 2000
13.

When did the ball reach its maximum height? Choose the key feature and the answer.

a)

y-intercept, 3 secs

b)

x-value of the vertex, 4 secs

c)

y-value of the vertex, 5 secs

d)

y-intercept, 0 secs

14.

What was the maximum height of the ball? Choose the key feature and the answer choice.

a)

y-intercept, 3 feet

b)

y-intercept, 0 feet

c)

x-value of the vertex, 4 feet

d)

y-value of the vertex, 5 feet

15.

Approximately how long did it take the water from the fountain to hit the surface of the pool? Pay attention to the y-axis scale.

a)

about 1.85 seconds

b)

about 2.85 seconds

c)

about 3.85 seconds

d)

about 4.85 seconds

16.

How many times has it been played at 3 ½ weeks?

(a)  

17.

At what week does the song reach its maximum number of times played?

(a)  

18.

What was the height of the ball at 1 second?

a)

3 feet

b)

4 feet

c)

5 feet

19.

A baseball is hit into the air. The height of the baseball, in feet, as a function of time, in seconds, is represented in the graph. How many seconds did it take the ball to reach maximum height?

a)

2 seconds

b)

4 seconds

c)

5 seconds

d)

8 seconds

20.

A cannon ball was shot out of a cannon and the path of the cannon ball is represented by the equation y=−16x2+96x+70y=-16x^2+96x+70 . Match which point you would use to answer the question.

  1. Maximum Height ​​ (a)  

  2. Starting Height ​ (b)  

  3. How long until the ball hit the ground ​ ​ (c)   ​

Choose from the below words
(3, 214)
(0, 70)
(6.7, 0)