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Interpreting Graphs of Quadratics

Total questions: 26

Worksheet time: 34mins

Name
Class
Date
1.

A parabola has a vertex at (-3,2).

Where is the axis of symmetry?

a)

y = -2

b)

x = 2

c)

x = -3

d)

y = -3

2.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

3.

Find the Axis of Symmetry (just x) : y= -2x2 + 8x -5

a)

x = -3

b)

x= 2

c)

x =4

d)

x = -2

4.
Where is the axis of symmetry for this parabola?
a)
x = −1
b)
x = 0
c)
y = 3
d)
x = −3
5.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
6.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
7.
Given the equation for this parabola:
 y=-(x-4)2-3,
does this parabola have a maximum or minimum value?
a)
Maximum
b)
Minimum
8.
Shift f(x)=x2 three units to the left and 4 units down
a)
f(x)=(x+3)2-4
b)
f(x)=(x-3)2-4
c)
f(x)=(x+4)2-3
d)
f(x)=(x-4)2-3
9.
Find the y-intercept of f(x) = 2x2 - 2x + 1
a)
2
b)
-2
c)
1
d)
-1
10.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
a)
(3,2)
b)
(-3,-2)
c)
(-3,2)
d)
(3,-2)
11.
Factor
n2-13n+40
a)
(n-5)(n-8)
b)
(n+5)(n-8)
c)
(n-5)(n+8)
d)
(n+6)(n+1)
12.
What is the range of this quadratic graph?
a)
y ≥ 0
b)
y ≤ 0
c)
ℝ
d)
y ≥ -1
13.
What is the domain of this quadratic graph?
a)
y ≥ 0
b)
y ≤ 0
c)
ℝ
d)
y ≥ -1
14.
What is the range of this quadratic graph?
a)
y ≥ 3
b)
y ≤ 3
c)
ℝ
d)
y ≤ 2
15.

Does this parabola have a minimum or maximum and what is its value?

a)

minimum: 2

b)

maximum: 2

c)

minimum: 5

d)

maximum: 5

16.

How many roots does y=x2 - x - 2 have?

a)

one

b)

two

c)

none

17.

Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. How long was the rocket in the air?

a)

1 second

b)

7 seconds

c)

14 seconds

18.

Mrs. Martone's 7th grade science class built and launched rockets. The graph below shows the height, in feet, over time, in seconds, of a student's rocket. Use the graph to answer the questions below. What is the height of the rocket at 5 seconds?

a)

30 feet

b)

60 feet

c)

65 feet

d)

70 feet

19.

Jason jumped off of a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = –16t2 - 16t + 480, where t is the time in seconds and h is the height in feet. How long does it take Jason to hit the water?

a)

30 seconds

b)

-6 seconds

c)

16 seconds

d)

5 seconds

20.
Which of the following best describes at the zeros?
a)
The dolphins are at the surface of the water.
b)
The dolphins are at the furthest distance from the water.
c)
The dolphins are increasing their distance from the water.
d)
The dolphins are under water.
21.

What is the y-intercept and what does it mean?

a)

(1.4, 31); At 1.4 seconds the football is at a maximum height of 31 ft

b)

6; The ball lands at 6 seconds

c)

31; The max height of the ball

d)

6; 6 feet is the height the ball is thrown from

22.

At what prices for a lemon slicer will this company make no money?

a)

$10 and $50

b)

$30

c)

$10 and $60

d)

$20 and $40

23.
Which answer choice describes  y = -3x2 +7x - 2 accurately?
a)
opens up with a maximum
b)
opens up with a minimum
c)
opens down with a maximum
d)
opens down with a minimum 
24.

You jump off a 24 foot high cliff and your fall is modeled by the function:

h(t) = -16t2 + 8t + 24

When would you reach 16 feet above the water?

a)

8 seconds

b)

1 second

c)

1/2 second

d)

1/4 second

25.

A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t2 + 8t + 24

How high is the platform?

a)

.25 ft

b)

24 ft

c)

25 ft

d)

8 ft

26.

Jason launched a rocket for a physics experiment. This equation can be used to find the height (h), in feet, of the rocket after t seconds.

h = -16t2 + 288t + 8

How many seconds will it take for the rocket to reach a height of 1,304 feet?

a)

9.0 seconds

b)

9.6 seconds

c)

81.0 seconds

d)

82.0 seconds

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