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Quadratic Functions Review

Total questions: 24

Worksheet time: 30mins

Name
Class
Date
1.

What is the vertex?

a)

(-3, 0)

b)

(3, 0)

c)

(0, 18)

d)

(18, 0)

2.

What is the equation of the axis of symmetry?

a)

y = 0

b)

x = 0

c)

x = 3

d)

x = -3

3.

Which of the statements about the graph is FALSE?

a)

The vertex is a maximum

b)

There are two zeros at x = -3 and x = 3

c)

The y-intercept is (0, 18)

d)

The range is y ≥ 18

4.

What is the significance of the ordered pair (0, -2) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

5.

Determine the domain and range of the function

a)

Domain: All real numbers, Range: All real numbers

b)

Domain: x ≥ -4, Range: All real numbers

c)

Domain: All real numbers, Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

6.

What are the zeros of the function? Choose all that apply.

a)

x = 0

b)

x = -3

c)

x = -6

d)

y = 18

7.

Which statement about the graph is FALSE?

a)

The vertex is (-3, 18)

b)

The vertex is a maximum

c)

The y-intercept is y = 0

d)

The axis of symmetry is y = -3

8.

Which statement about the graph is FALSE?

a)

The vertex is also a zero of the function

b)

The y-intercept is (0, -2)

c)

The axis of symmetry is x = 2

d)

The range is y ≥ 0

9.
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)
10.
What is the y-intercept of 
f(x)=2x2 + 4x + 6
a)
(6 , 0)
b)
(-6 , 0)
c)
(0, -6)
d)
(0 , 6)
11.
Convert
 y = 3(x+1)2 - 8 into standard form.
a)
y=3x2 + 6x - 5
b)
y=3x2 - 6x - 5
c)
y=3x2 + 6x + 5
d)
y=3x2 - 6x + 5
12.
If a = 3 and the vertex is (4, 2) what is the equation for the graph of the parabola?
a)
y = 3(x - 4)2 - 2 
b)
y = 3(x+4)2 + 2 
c)
y = 3(x - 4)2 + 2 
d)
y = 3(x + 4)2 - 2 
13.

Multiply and simplify

(2x + 9)(x - 1)

a)

2x2 -7x + 9

b)

2x2 +7x - 9

c)

2x2 +11x - 9

d)

2x2 - 7x - 9

14.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
none of these
15.
Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x
²+2x-3
a)
Minimum value, because the a value is positive
b)
Maximum value, because the b value is positive
c)
Maximum value, because the a value is positive
d)
Minimum value, because the c value is negative
16.
Solve
x2 + 2x - 24 = 0
a)
x = -6, x = 4
b)
x = 6, x = -4
c)
x = 12, x = -2
d)
x = 8, x = -3
17.
(x+1)(x-2)=0
a)
-1, 2
b)
1, 2
c)
1, -2
d)
-1, -2
18.
2x2 = 32
a)
-4, 4
b)
4
c)
-4
d)
5.48
19.
Which answer correctly factored for the equation below?
a)
(x + 7)(x - 2) = 0
b)
(x - 7)(x + 2) = 0
c)
(x - 7)(x - 2) = 0
d)
(x + 7)(x + 2) = 0
20.
Which transformation maps the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
a)
a reflection across the line x = -4
b)
a reflection across the line y = -4
c)
a translation shifting f(x) 4 units to the left
d)
a translation shifting f(x) 4 units to the right
21.

Match the description to its equation.

Vertically stretched by a factor of 2

a)

A

b)

B

c)

C

d)

D

22.
Match the description to its equation.
- moves down 3
a)
A
b)
B
c)
C
d)
D
23.
Which list orders the quadratic functions from narrowest to widest?
a)
y = x2 
y = 4x2 
y = 2x2 - 2  
y = 0.5 x2
b)
y = 0.5 x2  
 y = x2 
y = 2x2 - 2 
y = 4x2
c)
y = 4x2 
y = 2x- 2
 y = x2 
y = 0.5 x 
d)
 y = 2x2 - 2
 y = 4x2
 y = 0.5x2
 y = x2
24.
Which transformation will occur if f(x) = x2 is replaced with f(x) + 2?
a)
Nothing happens, it stays the same.
b)
Vertical stretch by a factor of 2.
c)
Vertical translation up by 2 units.
d)
Reflection across the x-axis.