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Graphing Quadratics Review/Test

Total questions: 99

Worksheet time: 5hrs 26mins

Name
Class
Date
1.
Which function is equivalent to
y = x2 - 6x + 10?
a)
y = (x + 3)2 - 1
b)
y = (x - 3)2 + 1
c)
y = (x + 6)2 - 10
d)
y = (x - 6)2 + 10
2.
Which of the following shows
f(x) = x2 - 8x + 1
written in vertex form?
a)
f(x) = (x - 4)2 - 15
b)
f(x) = (x - 4)2 + 17
c)
f(x) = (x - 4)2 - 17
d)
f(x) = (x - 4)2 + 65
3.
Which of the following shows
f(x) = x2 + 12x - 2
written in vertex form?
a)
f(x) = (x + 6)2 + 142
b)
f(x) = (x + 6)2 - 34
c)
f(x) = (x + 6)2 - 38
d)
f(x) = (x + 6)2 + 34
4.
Convert the equation y= x2-2x-5 into vertex form. 
a)
y= (x-1)2-6
b)
y= -(x-1)2-6
c)
y= (x+1)2-6
d)
y= -(x+6)2-1
5.

Write the given equation in vertex form:

y=x2+6x-2

a)

y=(x+3)2+7

b)

y=(x+3)2-11

c)

y=(x+6)2-2

d)

y=(x-3)2-38

6.

Write the given equation in vertex form:

y=x2+10x-5

a)

y=(x+10)2-105

b)

y=(x+5)2+25

c)

y=(x+5)2+20

d)

y=(x+5)2-30

7.

Write the given equation in vertex form:

y=x2+12x-5

a)

y=(x+6)2-31

b)

y=(x+6)2-41

c)

y=(x+12)2-5

d)

y=(x-6)2-31

8.

Write the given equation in vertex form:

y=x2-14x+2

a)

y=(x+7)2-47

b)

y=(x-7)2-51

c)

y=(x-14)2+2

d)

y=(x-7)2-47

9.

Write the given equation in vertex form:

y=x2+16x+100

a)

y=(x+8)2+36

b)

y=(x+8)2-36

c)

y=(x-8)2+164

d)

y=(x+8)2

10.

Write the given equation in vertex form:

y=x2-10x+10

a)

y=(x-10)2+10

b)

y=(x+5)2+35

c)

y=(x-5)2+15

d)

y=(x-5)2-15

11.

Which of the following shows
f(x) = x2 + 12x - 2
written in vertex form?

a)

f(x) = (x + 6)2 + 142

b)

f(x) = (x + 6)2 - 34

c)

f(x) = (x + 6)2 - 38

d)

f(x) = (x + 6)2 + 34

12.

Which of the following shows
f(x) = x2 - 8x + 1
written in vertex form?

a)

f(x) = (x - 4)2 - 15

b)

f(x) = (x - 4)2 + 17

c)

f(x) = (x - 4)2 - 17

d)

f(x) = (x - 4)2 + 65

13.
Convert the equation y= x2-2x-5 into vertex form. 
a)
y= (x-1)2-6
b)
y= -(x-1)2-6
c)
y= (x+1)2-6
d)
y= -(x+6)2-1
14.
Which of the following shows
f(x) = x2 + 12x - 2
written in vertex form?
a)
f(x) = (x + 6)2 + 142
b)
f(x) = (x + 6)2 - 34
c)
f(x) = (x + 6)2 - 38
d)
f(x) = (x + 6)2 + 34
15.
Convert the equation y= x2+4x into vertex form. 
a)
y= (x+4)2-4
b)
y= (x-2)2+4
c)
y= (x+2)2-4
d)
y= (x+2)2
16.
Which of the following shows
f(x) = x2 - 8x + 1
written in vertex form?
a)
f(x) = (x - 4)2 - 15
b)
f(x) = (x - 4)2 + 17
c)
f(x) = (x - 4)2 - 17
d)
f(x) = (x - 4)2 + 65
17.
Convert the equation
x2-12x+40
into vertex form
a)
(x+6)2-4
b)
(x+6)2+4
c)
(x-6)2-4
d)
(x-6)2+4
18.
Which function is equivalent to
y = x2 - 6x + 10?
a)
y = (x + 3)2 - 1
b)
y = (x - 3)2 + 1
c)
y = (x + 6)2 - 10
d)
y = (x - 6)2 + 10
19.

Convert the equation y= x2 + 4x + 11 into vertex form.

a)

y = (x + 2)2 - 4

b)

y = (x + 2)2 + 7

c)

y = (x + 2)2

d)

y = (x - 2)2 - 7

20.
Convert the equation y= x2-2x-5 into vertex form. 
a)
y= (x-1)2-6
b)
y= -(x-1)2-6
c)
y= (x+1)2-6
d)
y= -(x+6)2-1
21.
Which of the following shows
f(x) = x2 + 12x - 2
written in vertex form?
a)
f(x) = (x + 6)2 + 142
b)
f(x) = (x + 6)2 - 34
c)
f(x) = (x + 6)2 - 38
d)
f(x) = (x + 6)2 + 34
22.
Which of the following shows
f(x) = x2 - 8x + 1
written in vertex form?
a)
f(x) = (x - 4)2 - 15
b)
f(x) = (x - 4)2 + 17
c)
f(x) = (x - 4)2 - 17
d)
f(x) = (x - 4)2 + 65
23.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
symmetrical point for the vertex
24.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
line of dashes
25.
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
26.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
Vertex Form
27.

Does the equation open up or or open down?

Y = -3x2 +7x - 2

a)

up

b)

down

28.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
29.
Determine the vertex of the parabola:
y = 5x2 - 20x + 13
a)
(5, -7)
b)
(-2, -7)
c)
(2, -7)
d)
(-7, -2)
30.

Solve x2 + x – 72 = 0.

a)

x = -8

b)

x = -8 or x = 9

c)

x = 8 or x = -9

d)

x = 9

31.
What's the axis of symmetry of y = 3x2 - 6x + 4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
32.
Factor
3v2 - 4v - 7
a)
(3v-7)(v+1)
b)
3(v-7)(v-1)
c)
(3v+1)(v-9)
d)
(3v+1)(v-10)
33.
What is the vertex of y=x2+4x+3?
a)
(2,1)
b)
(-2,1)
c)
(0,0)
d)
(-2,-1)
34.
Find the Vertex:
f(x) = x2 + 10x + 21
a)
(-5,-4)
b)
(1,10)
c)
(10,21)
d)
No Real Solution
35.
What is the vertex for y = -4x2 - 32x - 59
a)
(-4, 5)
b)
(5, -4)
c)
(5, 4)
d)
(-4, -5)
36.
What is the axis of symmetry  y=4x2+8x+8?
a)
x = -1
b)
x = 1
c)
x = 2
d)
x = -2
37.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
38.
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
39.
What is the axis of symmetry for this graph?
a)
y=2
b)
x=2
c)
x=0
d)
y=0
40.

The equation for the axis of symmetry line is x = -b/(2a)

a)

true

b)

false

41.
If the a value is positive, which direction does the graph open?
a)
up
b)
down
c)
left
d)
right
42.

What is an equation of the axis of symmetry
of the parabola represented by y=2x2−3x+7?y=2x^2-3x+7?  ?

a)

x=34x=\frac{3}{4}  

b)

y=34y=\frac{3}{4}  

c)

x=32x=\frac{3}{2}  

d)

y=32y=\frac{3}{2}  

43.

a)

y = -3

b)

x = -3

c)

y = -25

d)

x = -25

44.

a)

x = -0.5

b)

x = 2

c)

x = 4.5

d)

x = 13

45.

a)

The vertex is (-2, -3) and the axis of symmetry is x = -2

b)

The vertex is (-2, -3) and the axis of symmetry is y = -2

c)

The vertex is (-3, -2) and the axis of symmetry is y = -2

d)

The vertex is (-3, -2) and the axis of symmetry is x = -2

46.

a)

The vertex is (1, 6) and the axis of symmetry is y = 1

b)

The vertex is (1, 6) and the axis of symmetry is x = 1

c)

The vertex is (6, 1) and the axis of symmetry is y = 1

d)

The vertex is (6, 1) and the axis of symmetry is x = 1

47.

y=−x2+6x−4y=-x^2+6x-4  

What is an equation of the axis of symmetry
of the parabola represented by the equation above?

a)

x = 3

b)

y = 3

c)

x = -3

d)

y = -3

48.

What is an equation of the axis of symmetry
of the parabola represented by y=2x2−3x+7?y=2x^2-3x+7?  ?

a)

x=34x=\frac{3}{4}  

b)

y=34y=\frac{3}{4}  

c)

x=32x=\frac{3}{2}  

d)

y=32y=\frac{3}{2}  

49.

Which equation represents the axis of symmetry of

the graph of the equation y = x2 + 4x - 5?

a)

x = -4

b)

x = -2

c)

x = 4

d)

x = 2

50.

If the equation of the axis of symmetry of a

parabola is x=2, at which pair of points could the

parabola intersect the x-axis?

a)

(3, 0) and (5, 0)

b)

(3, 0) and (2, 0)

c)

(3, 0) and (1, 0)

d)

(-3, 0) and (-1, 0)

51.

What is the axis of symmetry of a quadratic function with zeros at x = -4 and x = 2?

a)

x = -3

b)

x = -2

c)

x = -1

d)

x = 2

52.

What is the equation for the axis of symmetry of a parabola whose vertex is at (5, -3)?

a)

x = 5

b)

x = -3

c)

y = -3

d)

x = 1

53.

Mark the vertexvertex of the parabola.

54.

Draw the parabola's axis of symmetry.

55.

Graph a parabola whose vertex is at (4, −5)\left(4,\ -5\right) and has a y−intercepty-intercept at (0, −3)\left(0,\ -3\right) .

56.
If we have the equation y=ax2+bx+c, how can we can find the x-coordinate of the vertex?
a)
-a
b)
-b/a
c)
b/2a
d)
-b/2a
57.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
symmetrical point for the vertex
58.
What is the y-intercept of the following equation?
y=x2-3x-4
a)
y=1
b)
y=-4
c)
y=3
d)
y=-3
59.
Does the equation open up or down? 
Y = -3x2 +7x - 2
a)
up
b)
down
60.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
y intercept
61.
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
62.
Where is the axis of symmetry for this parabola?
a)
x = −1
b)
x = 0
c)
y = 3
d)
x = −3
63.
What is the axis of symmetry?
f(x) = x2 - 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
64.
Find the vertex of 
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
65.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
66.
What is the vertex of y=x2+4x+3?
a)
(2,1)
b)
(-2,1)
c)
(0,0)
d)
(-2,-1)
67.

Graph: y=x2+2x+1y=x^2+2x+1 using table above. Then plot each point on graph.

68.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
69.
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
70.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
71.
What's the axis of symmetry of y = 3x2 - 6x + 4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
72.
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
73.
What is the axis of symmetry for this graph?
a)
y=2
b)
x=2
c)
x=0
d)
y=0
74.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
75.
What's the axis of symmetry of y = 3x2 - 6x + 4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
76.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
77.

What's the axis of symmetry of y = x2 - 6x + 4

a)
x=1
b)

x=-3

c)

x=3

d)
x=-1
78.

Find the axis of symmetry of  y=x2+16x+71y=x^2+16x+71  

a)

x=8x=8  

b)

x=−8x=-8  

c)

x=16x=16  

d)

x=−16x=-16  

79.

What is the equation for the axis of symmetry for the given equation 

y=2(x+4)2−1y=2\left(x+4\right)^2-1  

a)

x = 2

b)

x = 4

c)

x = -1

d)

x = -4

80.

What is the equation for the axis of symmetry for the given equation 

y=−(x−3)2+3y=-\left(x-3\right)^2+3  

a)

y = 3

b)

x = 3

c)

x = -1

d)

x = -3

81.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
82.

Which letter determines if a parabola opens up or down?

a)

a

b)

h

c)

k

83.
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
84.
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
85.
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
86.
What is the vertex?
a)
(4,-4)
b)
(2,0)
c)
(0,2)
d)
(6,0)
87.
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
88.
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
89.
Find the axis of symmetry for
f(x) = x2- 8x + 15.
a)
x = -4
b)
x = 4
c)
y = 4
d)
y = -4
90.
What's the axis of symmetry of y = 3x2 - 6x + 4
a)
x=1
b)
x=-6
c)
x=2
d)
x=-1
91.
Find the vertex of 
f(x) = -x2 - 4x + 12.
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)
92.
Find the vertex of f(x)= -2x2-16x+3.
a)
(4, -93)
b)
(-4, 35)
c)
(-4,99)
d)
(8,3)
93.

The equation for the axis of symmetry line is x = -b/(2a)

a)

true

b)

false

94.
Given y=2(x+3)(x-7), find the vertex.
a)
(2, -50)
b)
(10, 50)
c)
(-2, -18)
d)
(4, -42)
95.
A parabola has a vertex at (-3,2).
Where is the axis of symmetry?
a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
96.
Find the vertex   y = (x - 5)(x - 1)
a)
(5, 1)
b)
(-5, - 1)
c)
(3, -4)
d)
(-3, 32)
97.
What is the x-coordinate of the vertex of the parabola?
 y = (x - 8)(x + 2)
a)
3
b)
-3
c)
8 and -2
d)
-8 and 2
98.

What is the vertex of the function?

a)

(-3, -16)

b)

(3, 20)

c)

(-6, -7)

d)

(0, -7)

99.
Find the vertex   y = (x - 5)(x - 1)
a)
(5, 1)
b)
(-5, - 1)
c)
(3, -4)
d)
(-3, 32)

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