WorksheetsGraphing
Total questions: 101
Worksheet time: 5hrs 57mins
Name
Class
Date
1.
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
2.
What is the vertex?
a)
(4,-4)
b)
(2,0)
c)
(0,2)
d)
(6,0)
3.
Find the vertex y = (x - 5)(x - 1)
a)
(5, 1)
b)
(-5, - 1)
c)
(3, -4)
d)
(-3, 32)
4.
Find the zeros of the equation:
(x+10)(x-2) = 0
(x+10)(x-2) = 0
a)
10 and 2
b)
-2 and 10
c)
-10 and 2
d)
-2 and -10
5.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
6.
What's the axis of symmetry of y = 3x2 - 6x + 4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
7.
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)
8.
Find the vertex of f(x)= -2x2-16x+3.
a)
(4, -93)
b)
(-4, 35)
c)
(-4,99)
d)
(8,3)
9.
In factored form you can see the ______ of the graph easily.
a)
y-intercept
b)
vertex
c)
x-intercepts
10.
The equation for the axis of symmetry line is x = -b/(2a)
a)
true
b)
false
11.
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
12.
What is the vertex of the function?
a)
(-3, -16)
b)
(3, 20)
c)
(-6, -7)
d)
(0, -7)
13.
Find the vertex y = (x - 5)(x - 1)
a)
(5, 1)
b)
(-5, - 1)
c)
(3, -4)
d)
(-3, 32)
14.
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
15.
Which letter determines if a parabola opens up or down?
a)
a
b)
h
c)
k
16.
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
17.
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
18.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
19.
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
20.
Given y=2(x+3)(x-7), find the vertex.
a)
(2, -50)
b)
(10, 50)
c)
(-2, -18)
d)
(4, -42)
21.
What is the x-coordinate of the vertex of the parabola?
y = (x - 8)(x + 2)
y = (x - 8)(x + 2)
a)
3
b)
-3
c)
8 and -2
d)
-8 and 2
22.
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
23.
What is the vertex?
a)
(4,-4)
b)
(2,0)
c)
(0,2)
d)
(6,0)
24.
Find the vertex y = (x - 5)(x - 1)
a)
(5, 1)
b)
(-5, - 1)
c)
(3, -4)
d)
(-3, 32)
25.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
26.
What's the axis of symmetry of y = 3x2 - 6x + 4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
27.
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)
28.
Find the vertex of f(x)= -2x2-16x+3.
a)
(4, -93)
b)
(-4, 35)
c)
(-4,99)
d)
(8,3)
29.
The equation for the axis of symmetry line is x = -b/(2a)
a)
true
b)
false
30.
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
31.
Find the vertex y = (x - 5)(x - 1)
a)
(5, 1)
b)
(-5, - 1)
c)
(3, -4)
d)
(-3, 32)
32.
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
33.
Which letter determines if a parabola opens up or down?
a)
a
b)
h
c)
k
34.
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
35.
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
36.
Which of the following equations matches standard form of a quadratic?
a)
ax + by = c
b)
y = a(x - h)2 + k
c)
y = ax2 + bx + c
d)
y = mx + b
37.
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
38.
Given y=2(x+3)(x-7), find the vertex.
a)
(2, -50)
b)
(10, 50)
c)
(-2, -18)
d)
(4, -42)
39.
What is the x-coordinate of the vertex of the parabola?
y = (x - 8)(x + 2)
y = (x - 8)(x + 2)
a)
3
b)
-3
c)
8 and -2
d)
-8 and 2
40.
Solutions are the...
a)
X-intercepts
b)
Y-intercepts
c)
Axis of Symmetry
d)
Vertex
41.
Identify number 3 on the graph
a)
Vertex
b)
Range
c)
Axis of Symmetry
d)
Domain
42.
Identify number 4 on the graph.
a)
Vertex
b)
Y-intercept
c)
Axis of Symmetry
d)
X-axis
43.
The shape of the quadratic equation is called a...
a)
Parabola
b)
y = ax2 + bx + c
c)
Vertex
d)
Graph
44.
When the vertex is the highest point on the graph, we call that a...
a)
Maximum
b)
Minimum
c)
x-intercept
d)
y-intercept
45.
When the vertex is the lowest point on the graph, we call that a...
a)
Maximum
b)
Minimum
c)
Parabola
d)
Point of Interest
46.
The Vertex Form of a quadratic equation...
a)
y = ax2 + bx + c
b)
y = a(x - h)2 + k
c)
y = mx2 + b
d)
y - y1 = m(x - x1)
47.
The Standard Form of a quadratic equation...
a)
y = ax2 + bx + c
b)
y = a(x - h)2 + k
c)
y = mx2 + b
d)
y - y1 = m(x - x1)
48.
Solutions to quadratic equations are called...
a)
Zeros, Roots
b)
Parabolas
c)
Vertexes
d)
Min & Max
49.
In the following quadratic equation, what is the "a" term?
y = - (x - 3)2 + 6
a)
-1
b)
3
c)
6
d)
y
50.
In the following quadratic equation, which is the "a" term?
y = 3x2 + 9x + 6
a)
3
b)
6
c)
9
d)
x
51.
In the following quadratic equation, which is the "b" term?
y = 3x2 + 9x + 6
a)
3
b)
6
c)
9
d)
x
52.
In the following quadratic equation, which is the "c" term?
y = 3x2 + 9x + 6
a)
3
b)
6
c)
9
d)
x
53.
Use the graph to determine the solutions.
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
54.
Does y = -4x2 have a maximum or minimum value?
a)
maximum
b)
minimum
55.
Does this graph in the back have maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
56.
What's the axis of symmetry of y=3x2-6x+4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
57.
Does the equation have a max or min?
y = 2x2 + 7x + 5
y = 2x2 + 7x + 5
a)
max
b)
min
58.
Does the equation open or or down?
Y = -3x2 +7x - 2
Y = -3x2 +7x - 2
a)
up
b)
down
59.
15f) Determine the line of symmetry. y = x2+16x+64
a)
x=4
b)
x=2
c)
x=-8
d)
x=64
60.
The solutions of a quadratic equation are known as the _____.
a)
Vertices
b)
Roots
c)
Squares
d)
Formulas
61.
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
62.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
63.
a)
A
b)
B
c)
C
64.
a)
A
b)
B
c)
C
65.
What is the vertex of this quadratic equation?
y = 2(x - 2)2 + 5
y = 2(x - 2)2 + 5
a)
(-2,5)
b)
(2,5)
c)
(5,-2)
d)
(-5,-2)
66.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
67.
Which quadratic function is represented by the graph?
a)
y = 2(x - 4)2 + 5
b)
y = 2(x + 4)2 + 5
c)
y = -2(x - 4)2 + 5
d)
y = -2(x + 4)2 + 5
68.
How would you describe the translation from f(x)=x2 to f(x)=(x-3)2 ?
a)
Horizontal translation: three units to the left
b)
Horizontal translation: three units to the right
c)
Vertical translation: three units up
d)
Vertical translation: three units down
69.
Shift f(x)=x2 three units to the left and 4 units down
a)
f(x)=(x+3)2-4
b)
f(x)=(x-3)2-4
c)
f(x)=(x+4)2-3
d)
f(x)=(x-4)2-3
70.
What is the maximum/minimum of a parabola called?
a)
vertex
b)
point
c)
top
d)
bottom
71.
What is the y-intercept of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
72.
Where is the axis of symmetry for this parabola?
a)
x = −1
b)
x = 0
c)
y = 3
d)
x = −3
73.
Which of the following is the correct equation for the given graph?
a)
f(x) = (x - 2)2 - 1
b)
f(x) = (x + 2)2 - 1
c)
f(x) = -(x + 2)2 - 1
d)
f(x) = -(x - 2)2 - 1
74.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
75.
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
76.
In vertex form, what effect does the a have on the graph?
a)
Translates Up/Down
b)
Translates Left/Right
c)
Narrows/Widens Parabola
d)
Flips it
77.
In vertex form, what effect does the h have on the graph?
a)
Translates Up/Down
b)
Translates Left/Right
c)
Narrows/Widens Parabola
d)
Flips it
78.
Describe the translation from f(x)=(x+2)2-3 to f(x)=(x-3)2-5
a)
Five units to the right, 2 units up
b)
Five units to the right, 2 units down
c)
Five units to the left, 2 units up
d)
Five units to the left, 2 units down
79.
How would you describe the translation from f(x)=x2+2 to f(x)=x2+7 ?
a)
Vertical translation: up 2 units
b)
Vertical translation: up 5 units
c)
Vertical translation: up 7 units
d)
Vertical translation: up 9 units
80.
a)
y=(x-4)2+1
b)
y=(x-4)2-1
c)
y=(x+4)2+1
d)
y=(x+4)2-1
81.
a)
y=(x-2)2+3
b)
y=(x-2)2-3
c)
y=(x+2)2+3
d)
y=(x+2)2-3
82.
How would you describe the translation from f(x)=x2 to f(x)=x2+5 ?
a)
Horizontal translation: five units to the right
b)
Horizontal translation: five units to the left
c)
Vertical translation: five units up
d)
Vertical translation: five units down
83.
Which answer choice describes y = -3x2 +7x - 2 accurately?
a)
opens up with a maximum
b)
opens up with a minimum
c)
opens down with a maximum
d)
opens down with a minimum
84.
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
85.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
86.
What is the arrow pointing at? How can you use this value?
a)
The arrow is pointing at the y-intercept. The x-value is the axis of symmetry and the y-value of this point is equivalent to the maximum/minimum
b)
The arrow is pointing at the vertex. The x value of this point is equivalent to the maximum/minimum and the y-value is the axis of symmetry
c)
The arrow is pointing at the solution. The y value of this point is equivalent to the maximum and the x value is equivalent to the minimum
d)
The arrow is pointing at the vertex. The x-value is the axis of symmetry and the y-value is equivalent to the minimum/maximum
87.
Identify the 'a' value: y = 16x2 -8x -24
a)
16
b)
8
c)
-8
d)
-24
88.
If the a value is negative, which direction does the parabola open?
a)
up
b)
down
c)
left
d)
right
89.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
90.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
91.
A parabola is upside-down when a is:
a)
negative
b)
positive
c)
0
d)
infinite
92.
Does this parabola have a maximum or minimum?
a)
Maximum
b)
Minimum
93.
Does this parabola have a minimum or maximum and what is its value?
a)
minimum: 2
b)
maximum: 2
c)
minimum: 5
d)
maximum: 5
94.
Does y = -4x2 have a maximum or minimum value?
a)
maximum
b)
minimum
95.
Identify the vertex and whether the graph opens up or down.
a)
(-1, 4); opens up
b)
(-1, 4); opens down
c)
(1, 4); opens up
d)
(1, 4); opens down
96.
Does this parabola have a maximum or minimum?
REMEMBER MAXIMUM IS THE HIGHEST AND MINIMUM IS THE LOWEST.
REMEMBER MAXIMUM IS THE HIGHEST AND MINIMUM IS THE LOWEST.
a)
Maximum
b)
Minimum
97.
If the a value is positive, which direction does the graph open?
a)
up
b)
down
c)
left
d)
right
98.
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
99.
Which answer choice describes y = -3x2 +7x - 2 accurately?
a)
opens up with a maximum
b)
opens up with a minimum
c)
opens down with a maximum
d)
opens down with a minimum
100.
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
101.
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
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