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WorksheetsQuadratic Functions
Total questions: 65
Worksheet time: 2hrs 42mins
Name
Class
Date
1.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
2.
What piece of information does c identify in the following equation?
y=ax2+bx+c
y=ax2+bx+c
a)
Zeroes
b)
Axis of Symmetry
c)
Direction
d)
y-intercept
3.
What form is the equation in?
y = 2x2-8x+7
y = 2x2-8x+7
a)
Standard
b)
Vertex
c)
Factored
d)
None of These
4.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
y=4x2-8x+9
a)
x=-8
b)
x=1
c)
x=-1
d)
x=2
5.
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)
6.
What direction is the following equation opening?
y=-3x2-7x+8
y=-3x2-7x+8
a)
Up
b)
Down
c)
Left
d)
Right
7.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
y=4x2-8x+9
a)
x=-8
b)
x=2
c)
x=-2
d)
x=4
8.
Find the y-intercept of
f(x) = 2x2-2x + 1
f(x) = 2x2-2x + 1
a)
2
b)
-2
c)
1
d)
-1
9.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
10.
Does
y = -4x2
have a maximum or minimum value?
y = -4x2
have a maximum or minimum value?
a)
maximum
b)
minimum
11.
When a basketball is shot, it forms an arc (also known as a parabola). When the basketball reaches it's highest point, what is that point called?
a)
Minimum value
b)
Slope
c)
Maximum value
d)
A parabola
12.
Quadratic equations take the shape of a _______ when graphed.
a)
U
b)
straight line
c)
wavey line/snaked
d)
circle/elliptical
13.
What are the x-intercepts?
a)
0 and 2
b)
-4 and 0
c)
2 and 3
d)
0 and 4
14.
Which form is the equation
y = -3(x-5)2+7 in?
y = -3(x-5)2+7 in?
a)
Standard
b)
Vertex
c)
Factored
d)
None of These
15.
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)
16.
Joe Mauer hits a fly ball. You can track the height of the ball using the equation: h(t) = -16t2 + 140t + 2
What was the starting
height of the ball?
What was the starting
height of the ball?
a)
-16 feet
b)
140 feet
c)
2 feet
d)
0 feet
17.
What is the y intercept for the equation:
y = -8x2 + 3x - 7
y = -8x2 + 3x - 7
a)
(0, -8)
b)
(0, 3)
c)
(-8, -7)
d)
(0, -7)
18.
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
19.
The following is an example of which form?
y= 1/3(x+3)2
y= 1/3(x+3)2
a)
Factored Form
b)
Standard Form
c)
Intercept Form
d)
Vertex Form
20.
Does the following quadratic equation have a maximum or minimum value? How can you tell?
y=x²+2x-3
y=x²+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
21.
What is the axis of symmetry?
a)
the slope of the graph
b)
the dividing line for a parabola
c)
a way to spin my pencil
d)
the x-axis
22.
What is the vertex form of this quadratic?
a)
f(x) = -(x + 2)2 - 4
b)
f(x) = (x - 2)2 + 4
c)
f(x) = (x - 2)2 - 4
d)
f(x) = -(x - 2)2 - 4
23.
What equation represents the quadratic function?
a)
y = (x - 4)2
b)
y = (x + 4)2
c)
y = x2 - 4
d)
y = x2 + 4
24.
What equation represents the quadratic function?
a)
y = (x - 8)2
b)
y = (x + 8)2
c)
y = x2 - 8
d)
y = x2 + 8
25.
What equation represents the quadratic function?
a)
y = -(x - 5)2
b)
y = -x2 + 5
c)
y = x2 - 5
d)
y = (x - 5)2
26.
A parabola is upside-down when a is:
a)
negative
b)
positive
c)
0
d)
infinite
27.
Which of the following does NOT contain a horizontal translation LEFT of y = x2?
a)
y = 2(x - 5)2 + 3
b)
y = -2(x + 5)2 - 3
c)
y = (3x + 2)2 + 5
d)
y = -3(x + 2)2 - 5
28.
What is the range of this function?
a)
All real numbers.
b)
All real numbers greater than or equal to 0.
c)
All real numbers greater than or equal to -2.
d)
All real numbers greater than or equal to 2.
29.
What is the range of the function?
*Hint: Range is all of the y-values included in the function.
*Hint: Range is all of the y-values included in the function.
a)
y≤3
b)
y≥3
c)
All real numbers
d)
-6≤y≤3
30.
Describe the transformation of the graph y = (x)3 + 6
a)
Right 6
b)
Left 6
c)
Up 6
d)
Down 6
31.
Describe the transformations of the graph y = (x - 3)3 -2
a)
Right 3, Down 2
b)
Left 3, Up 2
c)
Right 3, Up 2
d)
Left 3, Down 2
32.
Which equation below is a quadratic function translated up 5 units?
a)
y = x2 + 5
b)
y = (x + 5)2
c)
y = 5x2
d)
y = -x2 - 5
33.
Which equation below is a quadratic function translated left 4 units?
a)
y = x2 + 4
b)
y = (x + 4)2
c)
y = (x - 4)2
d)
y = 4x2
34.
If the blue is f(x)=x2, then the red must be
a)
g(x)=x2-5
b)
g(x)=x2+5
c)
g(x)=(x-5)2
d)
g(x)=(x+5)2
35.
Tell how the function transformed from y =x2
y = -2x2
y = -2x2
a)
Translated left 2 units
b)
Reflected over x-axis
c)
Stretched vertically and reflected over x-axis
d)
Compressed vertically and reflected over the x-axis
36.
f(x) = 5x2 + 2
a)
Stretch of 5
Up 2
Up 2
b)
Shrink of 5
Up 2
Up 2
c)
Stretch of 5
Down 2
Down 2
d)
Shrink of 5
Down 2
Down 2
37.
Describe the transformations of the graph y = (x - 3)3 -2
a)
Right 3, Down 2
b)
Left 3, Up 2
c)
Right 3, Up 2
d)
Left 3, Down 2
38.
In the equation f(x)=5(x+3)2-10 what effect does the 5 do when compared to the parent function?
a)
Vertical stretch by a factor of 5
b)
Vertical shrink/compress by a factor of 5
c)
Reflect over x-axis
d)
Vertical shift up 5 units
39.
What is the equation of the quadratic function obtained from vertically shrinking/compressing the parent function by 3/5 and then shifted up 8 units?
a)
f(x)= 3/5(x-8)2
b)
f(x)=3/5x2+8
c)
f(x)=x2
d)
f(x)=3/5x2-8
40.
What is the equation of the quadratic function obtained from horizontally shifting the parent function 17 units left and then reflecting across the x-axis?
a)
f(x)= -x2-17
b)
f(x)= -(x-17)2
c)
f(x)= -(x+17)2
d)
f(x)= -x2+17
41.
What is the equation of the quadratic function obtained from vertically stretching the parent function by a factor of 2 and then vertically shifting up 3 units?
a)
f(x)= 2(x-3)2
b)
f(x)= 2(x+3)2
c)
f(x)= 2x2+3
d)
f(x)= (x-2)2+3
42.
What is the equation of the quadratic function obtained from vertically shrinking/compressing the parent function by a factor of 0.5 and then reflecting across the x-axis?
a)
f(x)= 0.5x2
b)
f(x)= -0.5x2
c)
f(x)= -(x-0.5)2
d)
f(x)= x2+0.5
43.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
44.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
45.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
46.
Standard form of a quadratic equation
a)
y=x²
b)
y=ax²+bx+c
c)
y=mx+b
d)
y=x
47.
Does this parabola have a maximum or minimum?
a)
Maximum
b)
Minimum
48.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
49.
y=a(x-h)²+k
What does h tell you to do?
What does h tell you to do?
a)
Move up/down
b)
Move left/right
c)
Get fatter/skinnier
d)
Open up/down
50.
y=a(x-h)²+k
What does k tell you to do?
What does k tell you to do?
a)
Move up/down
b)
Move left/right
c)
Get fatter/skinnier
d)
Open up/down
51.
y=a(x-h)²+k
What does a>1 tell you to do?
What does a>1 tell you to do?
a)
Move up/down
b)
Move left/right
c)
Get fatter
d)
Get skinnier
52.
y=a(x-h)²+k
What does a<1 tell you to do?
What does a<1 tell you to do?
a)
Move up/down
b)
Move left/right
c)
Get fatter
d)
Get skinnier
53.
y=a(x-h)²+k
What does a is negative tell you to do?
What does a is negative tell you to do?
a)
Open up
b)
Move left/right
c)
Get fatter
d)
Open down
54.
y=a(x-h)²+k
What does a is positive tell you to do?
What does a is positive tell you to do?
a)
Open up
b)
Move left/right
c)
Get fatter
d)
Open down
55.
y=(x+3)²-2
The k represents a...
The k represents a...
a)
horizontal shift left 2 spaces
b)
horizontal shift right 2 spaces
c)
Vertical shift up 2
d)
Vertical shift down 2
56.
y=(x+3)²-2
What is the vertex?
What is the vertex?
a)
(3,2)
b)
(3, -2)
c)
(-3,2)
d)
(-3,-2)
57.
y=(x+3)²
What is the vertex?
What is the vertex?
a)
(-3,0)
b)
(3,0)
c)
(3,1)
d)
(-3,1)
58.
y=-2(x-1)²-9
What is the H value
What is the H value
a)
-2
b)
1
c)
-1
d)
-9
59.
y=-2(x-1)²-9
What is the K value
What is the K value
a)
9
b)
1
c)
-1
d)
-9
60.
y=-2(x-1)²-9
What is the vertex of this parabola
What is the vertex of this parabola
a)
(1,9)
b)
(1, -9)
c)
(-1,9)
d)
(-1, -9)
61.
y=x2
What is the name of this function
What is the name of this function
a)
Parent function
b)
Parabloa
c)
quadratic
d)
the parent function of a quadratic
62.
y=x2
What is a?
What is a?
a)
1
b)
0
c)
-1
d)
x
63.
y=x2
What is h?
What is h?
a)
1
b)
0
c)
-1
d)
x
64.
y=x2
What is k?
What is k?
a)
1
b)
0
c)
-1
d)
x
65.
What is the equation of this graph?
a)
f(x) = (x -5)2 + 1
b)
f(x) = (x - 1)2 - 5
c)
f(x) = (x + 1)2 - 5
d)
f(x) = (x + 5)2 +1
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