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WorksheetsIM-2 Quadratic Functions
Total questions: 30
Worksheet time: 52mins
Name
Class
Date
1.
In the equation
y = x2 +5x +7, match each leading coefficient with its correct letter
y = x2 +5x +7, match each leading coefficient with its correct letter
a)
a = 0, b = 5, c = 7
b)
a = 1, b = 5, c = 7
c)
a = 7, b = 5, c = 1
d)
Do not pick this.
2.
The quadratic equation can be used to solve quadratic equations that cannot be factored.
a)
True
b)
False
3.
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
4.
a)
The graph has a maximum value.
b)
The graph has a minimum value.
c)
The graph is a linear function.
d)
The graph has a
min & max value.
min & max value.
5.
What should you do first in solving this equation?
x2 + 6x −13 = 3
x2 + 6x −13 = 3
a)
Get factored form
b)
Write down: a = 1, b = 6, c = −13
c)
Make it equal 0 by subtracting 3 on each side
d)
Look at my friends!
6.
In the quadratic equation: y = 2x2 −8x −3
Where is the axis of symmetry?
Where is the axis of symmetry?
a)
x = 6
b)
x = -24
c)
x = -24
d)
x = 2
7.
Use any method to solve
2x2 + 2x - 12 = 0
2x2 + 2x - 12 = 0
a)
x = −2, x = 3
b)
x = 2, x = 3
c)
x = 2, x = −3
d)
x = −2, x = −3
8.
if what is the solution of the equation below:
p2−25=0
p2−25=0
a)
{ 2.5, −2.5 }
b)
{ 5, −5 }
c)
No Solution
d)
P = 5
9.
What's the axis of symmetry of y=3x2 −6x +4
a)
x = 1
b)
x = −6
c)
x = 2
d)
x = −1
10.
What's the vertex of y = 3x2 −6x +4
a)
( 1, 1 )
b)
( 2, 1 )
c)
( -1, 1)
d)
( 2, 2 )
11.
Does the equation open or or down?
Y = −3x2 +7x −2
Y = −3x2 +7x −2
a)
up
b)
down
12.
If the graph of a quadratic does not intercept the x-axis at any point, then it has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
No Real Solution
13.
Standard form of a quadratic equation
a)
y = x²
b)
y = ax² +bx +c
c)
y = mx +b
d)
y = x
14.
The shape of the graph of a quadratic equation is known as
a)
a line
b)
a U
c)
a parabola
d)
a vertex
15.
What is the vertex form for a vertex of (1, 5) and when a = 3?
a)
f(x) = 3(x −1)2 +5
b)
f(x) = 1(x −3)2 +5
c)
f(x) = 3(x −5)2 +1
d)
f(x) = 3(x +1)2 +5
16.
What is the value for 'a' when given a vertex of ( -2, -9 )
and a point of ( 1, 9 )?
remember y = a ( x − h )2 + k
and a point of ( 1, 9 )?
remember y = a ( x − h )2 + k
a)
a = 2
b)
a = −2
c)
a = 6
d)
a = −6
17.
if Parent function f(x) = x2
is shifted 7 units to the right.
then the new function is:
is shifted 7 units to the right.
then the new function is:
a)
y = (x +7)2
b)
y = (x)2 +7
c)
y = x2 −7
d)
y = (x −7)2
18.
Given the function:
f(x) = 2(x +5)2 +2
Identify the vertex and whether the graph opens up or down.
f(x) = 2(x +5)2 +2
Identify the vertex and whether the graph opens up or down.
a)
(5, 2); opens up
b)
(5, −2); opens down
c)
(−5, 2); opens up
d)
(−5, 2); opens down
19.
Given the equation for this parabola:
y = −(x −4)2 −3,
does this parabola have a maximum or minimum value?
y = −(x −4)2 −3,
does this parabola have a maximum or minimum value?
a)
Maximum
b)
Minimum
20.
a)
x-intercept is (0, 0)
b)
x-intercept is (2, 4)
c)
x-intercepts are
(0, 0) and (0, 4)
(0, 0) and (0, 4)
d)
x-intercepts are
(0, 0) and (4, 0)
(0, 0) and (4, 0)
21.
a)
The vertex of the graph is (2, 4)
b)
The vertex of the graph is (3, −1)
c)
The vertex of the graph is (0, 8)
d)
The vertex of the graph is (4, 2)
22.
a)
The graph has 3 zeroes
b)
The graph has 2 zeroes
c)
The graph has no real solutions
d)
The graph has one root.
23.
What's the
y-intercept of
y = 3x2 − 6x + 4
y-intercept of
y = 3x2 − 6x + 4
a)
(4 ,0)
b)
(−4 ,0)
c)
(0, −4)
d)
(0, 4)
24.
What is another name for
the x-intercepts of a quadratic function?
the x-intercepts of a quadratic function?
a)
y-intercept
b)
Zeros or roots
c)
x-axis
d)
They don't have another name
25.
Factor: x2 - 25
a)
( x +5 ) ( x −5 )
b)
( x −5 ) ( x −5 )
c)
( x +5 ) ( x +5 )
d)
Prime
26.
a)
The domain of f(x) is
(∞, 4)
(∞, 4)
b)
(4, ∞)
c)
(0, ∞)
d)
(−∞, ∞) or all real numbers
27.
Factor
x2 + 9x −36
x2 + 9x −36
a)
(x +12)(x −3)
b)
(x +9)(x −4)
c)
(x −12)(x + 3)
d)
(x −9)(x −4)
28.
Factor
n2 + 16n + 63
n2 + 16n + 63
a)
(n −7)(n +4)
b)
(n +7)(n −9)
c)
(n −3)(n −10)
d)
(n +7)(n +9)
29.
Factor
k2 - 2k - 24
k2 - 2k - 24
a)
(k +4)(k −6)
b)
(k +4)(k +6)
c)
(k +6)(k −1)
d)
(k −4)(k +6)
30.
Factor:
x2 −15x + 50
x2 −15x + 50
a)
(x −10)(x −15)
b)
(x −10)(x −5)
c)
(x −25)2
d)
(x −5)2
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