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Quadratics Review

Total questions: 20

Worksheet time: 3hrs 26mins

Name
Class
Date
1.
What is the vertex of the quadratic function: y=1/2(x-3)2+8?
a)
(3,8)
b)
(-3,-8)
c)
(-3,8)
d)
(3,-8)
2.
What are the x-intercepts?
a)
0 and 2
b)
-4 and 0
c)
2 and 3
d)
0 and 4
3.

Which of the following are other words for zeros? (Choose ALL that apply)

a)

x-intercepts

b)

roots

c)

vertex

d)

solutions

e)

y-intercepts

4.

What is the maximum value of the function shown?

a)

4

b)

3

c)

1

d)

-3

5.
Solve by taking square roots:
k2 - 6 = 43
a)
k = √37
b)
k = 37 or - 37
c)
k = 7, k = -7
d)
no solution
6.
Solve
a2 + 2a - 24 = 0
a)
a = -6, 4
b)
a = 6, -4
c)
a = 12, -2
d)
a = 8, -3
7.
Use the graph to determine the equation of the parabola
a)
y= –(x-1)(x-3)
b)
y= –(x+1)(x+3)
c)
y= (x-1)(x-3)
d)
y= (x+1)(x+3)
8.
The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph? 
a)
The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.
b)
The ball was kicked from the ground and it was in the air for 4 seconds. 
c)
The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds. 
d)
The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds. 
9.
What are the zeros for the quadratic function? 
a)
(-6, 0) and (14, 0)
b)
(-50, 0) and (14, 0)
c)
(-6, 0) and (-50, 0)
d)
(-50, 0) and (-60, 0)
10.
A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)= -t2 + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down? 
a)
10 feet 
b)
19 feet
c)
13 feet
d)
16 feet 
11.
Will the following function open up or down: -2x2-3x+4
a)
Up
b)
Down
12.
Will the following function open up or down: x2+3x+2
a)
Up
b)
Down
13.

Identify the axis of symmetry

a)

x=-1

b)

y=-4

c)

x=1

d)

y=4

14.

What is the vertex for

y=-2(x+2)2+3

a)

(-2, -3)

b)

(2, 3)

c)

(-2, 3)

d)

(3, -2)

15.

What should the graph look like?

y=-2(x+3)2+2

a)
b)
c)
d)
16.

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

17.

If each mark on the x-axis represents one second, when did the object reach the ground?

a)

2.5 seconds

b)

6 seconds

c)

5.5 seconds

d)

5 seconds

18.

A dolphin jumps from the water at at initial velocity of 16 feet per second. The equation h = -8t2 + 16t models the dolphin's height at any given time, t. What is the maximum height the dolphin jumps?

a)

1 foot

b)

5 feet

c)

7 feet

d)

8 feet

e)

12 feet

19.
Find the vertex of 
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(-2, 14)
c)
(2, 4)
d)
(-2, 4)
20.

Your nephew is standing on his deck, which is 4 feet off the ground. He tosses his toy up into the air. The equation

h = -2t2 + 7t + 4 models the toy's height, h, from the ground at t seconds after he threw it. How high is the toy after 1 second?

a)

2

b)

4

c)

9

d)

10

e)

15

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