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WorksheetsQuadratic Functions Review
Total questions: 30
Worksheet time: 55mins
Name
Class
Date
1.
Does y = -4x2 have a maximum or minimum value?
a)
maximum
b)
minimum
2.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
3.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
4.
If the a value is negative, which direction does the parabola open?
a)
up
b)
down
c)
left
d)
right
5.
Does the quadratic have a max/min vertex, and does the parabola open up/down?
a)
max/ opens down
b)
min/ opens up
c)
max/ opens up
d)
min/ opens down
6.
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
7.
How many roots does this parabola have?
a)
3
b)
2
c)
0
d)
1
8.
What is a, b, and c in 3x2 + 4 = 5x?
a)
a = 3, b = -5, c = 4
b)
a = 3, b = 5, c = 4
c)
a = 3, b = 5, c = -4
d)
a = 3, b = -5, c = -4
9.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
f(x) = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
10.
What's the axis of symmetry of y = 3x2 - 6x + 4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
11.
What is the vertex of y=x2+4x+3?
a)
(2,1)
b)
(-2,1)
c)
(0,0)
d)
(-2,-1)
12.
Find the vertex of
f(x) = -x2 - 4x + 12.
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
13.
Identify the y-intercept.
a)
(0, 4)
b)
(-1, 4.5)
c)
(-4, 0)
d)
(2, 0)
14.
What is the domain.
a)
(-∞, ∞)
b)
(-∞, 4.5]
c)
(-4, 2)
d)
[4.5, ∞)
15.
What is the range.
a)
(-∞, ∞)
b)
(-∞, 4.5]
c)
(-4, 2)
d)
[4.5, ∞)
16.
What is the range?
a)
(2, -2)
b)
all real numbers
c)
[-2, ∞)
d)
(∞, -2]
17.
Solve by factoring: x2 - 9x + 20 = 0
a)
x = -4 and x = -5
b)
x = 20 and x = -9
c)
x = 4 and x = 5
d)
x = -4 and x = 5
18.
Solve by factoring: x2 + 3x - 18 = 0
a)
x = -3 and x = 6
b)
x = 3 and x = -6
c)
x = -9 and x = 2
d)
x = 9 and x = -2
19.
Solve by factoring: 5x2 + 13x + 6 = 0
a)
x = -2 and x = -3/5
b)
x = 2 and x = 3/5
c)
x = -2 and x = 3/5
d)
x = 2 and x = -3/5
20.
Solve by factoring: 2x2 - 5x - 12 = 0
a)
x = -4 and x = -6
b)
x = 4 and x = -3/2
c)
x = 4 and x = 6
d)
x = -4 and x = 3/2
21.
Solve: x2=18x-81
a)
x= -9, -9
b)
x= 9, 9
c)
x= -9, 9
22.
Solve: x2-7x=0
a)
x= 0, -7
b)
x= 0, 7
23.
Solve:
x2 - 49 = 0
x2 - 49 = 0
a)
x = -7, x = 7
b)
x = -7
c)
x = 7
d)
x = -7, x = 1
24.
Solve: x2 - 9x = 0
a)
9
b)
0, 9
c)
-9, 0
d)
-9
25.
Find the zeros of this quadratic.
a)
b=4/5, b=3
b)
b=4, b=-3
c)
b=1/5, b=3
d)
b=4/5, b=-3
26.
Solve using the square root method:
16a2 - 9 = 0
a)
a = -3/4, 3/4
b)
a = -4/3, 4/3
c)
a = -9/16, 9/16
d)
a = -16/9, 16/9
27.
Solve using the square root method:
(x+3)2-5 = 9
a)
±√14 -3
b)
√14 - 3
c)
±11
d)
±5
28.
Solve Using the Quadratic Formula
2x2 + 7x - 15 = 0
2x2 + 7x - 15 = 0
a)
-1.5 or 5
b)
No Solution
c)
-5 or 1.5
d)
0.7 or 5
29.
Solve using the quadratic formula:
0 = -x2 - 5x + 12
a)
-4.9 and -0.1
b)
-8.54 and 8.54
c)
-0.45 and 3.55
d)
-6.77 and 1.77
30.
Solve: 2x2 + 7x - 15 = 0
a)
-1.5 or 5
b)
No Solution
c)
-5 or 1.5
d)
0.7 or 5
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