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4.1 Quadratics Practice

Total questions: 75

Worksheet time: 2hrs 27mins

Name
Class
Date
1.
Does the graph have a minimum or a maximum?
a)
minimum
b)
maximum
2.
Does the graph have a minimum or maximum?
a)
minimum
b)
maximum
3.
Which of the following is the vertex of the graph?
a)
(2, 0)
b)
(-2, 0)
c)
(0, 4)
d)
(-1, 3)
4.
Which of the following is the vertex of the graph?
a)
(0, 3)
b)
(3, -6)
c)
(1, 10)
d)
(4, -5)
5.
What is the axis of symmetry for this graph? 
a)
x = 2
b)
x = -4
c)
y = -4
d)
there is not one
6.

Name the vertex

a)

(1,1)

b)

(0,0)

7.

Name the Vertex

a)

(3, -4)

b)

(-3, -4)

8.

Name the Axis of Symmetry

a)

x = 1

b)

x = 0

9.

x-intercepts

a)

-4 and 0

b)

-1 and -2

10.

y-intercept

a)

1

b)

-1/2

11.

Maximum or Minimum

a)

Maximum

b)

Minimum

12.

What is the name given to the dotted line?

a)

A) y-intercept

b)

B) axis of symmetry

c)

C) vertex

d)

D) root

13.

What is the name given to the point

(0 , 7)?

a)

A) just a plain point

b)

B) root

c)

C) y-intercept

d)

D) vertex

14.

What is the name given to the point

(1 , 0)?

a)

A) just a plain point

b)

B) root

c)

C) y-intercept

d)

D) vertex

15.

The vertical line that cuts a parabola in half is called...

a)

Axis of symmetry

b)

Axis of evil

c)

Vertex

d)

Evil vortex

16.

What kind of function creates a parabola?

a)

Linear

b)

Cubic

c)

Absolute Value

d)

Quadratic

17.

What are the coordinates of the vertex?

a)

(4,0)

b)

(0,0)

c)

(2,4)

d)

(0,-1)

18.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
y intercept
19.

What's the vertex of this parabola?

a)

(0, 3)

b)

(-1, 0)

c)

(3, 0)

d)

(1, 4)

20.

Is the vertex a maximum or a minimum?

a)

Maximum

b)

Minimum

21.

How many x-intercepts does this parabola have?

a)

0

b)

1

c)

2

22.
Identify the vertex
a)
(-1,-9)
b)
(0,-8)
c)
(-4,0)
d)
(0,0)
23.

Name the Axis of Symmetry

a)

x = 1

b)

x = 0

24.

Maximum or Minimum

a)

Maximum

b)

Minimum

25.
The axis of symmetry is a line that goes through the...
a)
y-intercept
b)
any random point
c)
vertex
d)
 x-axis or y-axis
26.
Which best describes the vertex of a parabola?
a)
Any point on the parabola.
b)
A point on the x-axis.
c)
The highest or lowest point of a parabola
d)
A point on the y-axis.
27.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
28.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
Vertex Form
29.
The equation for a regular parabola is...
a)
y = mx + b
b)
y = a(b)x
c)
y = x2
d)
Ax + By = C
30.
When a parabola opens downward the vertex is
a)
a minimum
b)
a maximum
c)
a vertex
d)
a parabola
31.

When a parabola opens upward the vertex is

a)

a minimum

b)

a maximum

c)

a vertex

d)

a parabola

32.

What is the vertex?

a)

(-2,0)

b)

(0,0)

c)

(0,-4)

d)

(2,0)

33.

Select the answer that has a, b, and c correctly labeled:

y=−x2+2x−9y=-x^2+2x-9  

a)

a= 1, b= 2, c= -9

b)

a= 2, b= -1, c= 9

c)

a= -9, b= 2, c= -1

d)

a= -1, b= 2, c= -9

34.

What is the equation of the line of symmetry for this quadratic function?

a)

x = -3

b)

x= .5

c)

x = 4

d)

x = -12

35.

Which direction will this parabola open?

y=2x2+8x−16y=2x^2+8x-16  

a)

upwards

b)

downwards

36.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
37.
What is the vertex of the quadratic function:
y = x2 - 6x + 11?
a)
(3,2)
b)
(-3,-2)
c)
(-3,2)
d)
(3,-2)
38.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
none of these
39.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
40.
What is another name for the x-intercepts of a quadratic?
a)
y-intercepts
b)
zeros
c)
x-axis
d)
none of these
41.
Identify the 'a' value: y = 16x2 -8x -24
a)
16
b)
8
c)
-8
d)
-24
42.

Identify the 'b' value: y = 16x2 -8x -24

a)

16

b)

-8

c)

8

d)

-24

43.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
44.
What are the green dots called?
a)
axis of symmetry
b)
vertex
c)
parabola
d)
roots or x-intercepts
45.
What is the axis of symmetry of:y=2x2-4x+9
a)
x = 1
b)
x = -1
c)
x = -2
d)
x = 4
46.
What is the y-intercept of: y=7x2+2x -1
a)
(0, 1)
b)
(0, -1)
c)
(1, 0)
d)
(-1, 0)
47.
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
48.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
49.
True or false:
The solutions, roots, x-intercepts, and zeros of a quadratic equation are all the same thing.
a)
True
b)
False, because the solution and root are the same but the x-intercept and zero are different
c)
False, because the x-intercept and root are the same but the zero and solution are different
d)
False, they are all different
50.
In the equation
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
51.

Define X-intercept

a)

The highest or lowest point on the graph

b)

Where the parabola touches or intersects the x-axis

c)

Where the parabola touches or intersects the y-axis

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

52.

Define Y-intercept

a)

Where the parabola touches or intersects the x-axis, also called the x-intercept

b)

The lowest y-value on the graph

c)

The highest y-value on the graph

d)

Where the parabola touches or intersects the y-axis

53.

Define Zero

a)

Where the parabola touches or intersects the x- axis, also called the x-intercept

b)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

c)

The highest or lowest point on the graph

d)

Where the parabola touches or intersects the y-axis

54.

Define Maximum

a)

The highest or lowest point on the graph

b)

The highest y-value on the graph

c)

The lowest y-value on the graph

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

55.

Define Minimum

a)

The highest y-value on the graph

b)

Where the parabola touches or intersects the y-axis

c)

Where the parabola touches or intersects the x-axis, also called the x-intercept

d)

The lowest y-value on the graph

56.

Define Axis Of Symmetry

a)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

b)

Where the parabola touches or intersects the x-axis, also called the x-intercept

c)

The highest y-value on the graph

d)

The highest or lowest point on the graph

57.

Define Roots

a)

Where the parabola touches or intersects the y-axis

b)

The lowest y-value on the graph

c)

Where the parabola touches or intersects the x-axis, also called the x-intercept

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

58.

Define Solution

a)

The highest y-value on the graph

b)

Where the parabola touches or intersects the y-axis

c)

The highest or lowest point on the graph

d)

Where the parabola touches or intersects the x-axis, also called the x-intercept

59.

Define Roots, Zeros, X-intercept, and Solutions

a)

Where the parabola touches or interests the x-axis

b)

Where the parabola touches or interests the y-axis

60.

Does this graph have maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

61.

What are the X-intercept(s) of this graph?

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

62.
What is the vertex of the graph?
a)
(2,4)
b)
(-2,-4)
c)
(4,2)
d)
(-4,-2)
63.
What are the coordinates of the y-intercept?
a)
(-3, 0)
b)
(0, -3)
c)
(2, 1)
d)
y=-3
64.

What is the equation for the axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

65.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
66.

What is the equation for the axis of symmetry?

a)

-3

b)

-1

c)

x=-3

d)

x=-1

67.

What are the x-intercepts of the graph?

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

68.

Is this a maximum or a minimum?

a)

max

b)

min

c)

cannot be determined

69.

What is the y intercept of this graph?

a)

3

b)

2

c)

1

d)

0

70.

Name the Vertex

a)

(3, -4)

b)

(-3, -4)

71.

Name the vertex

a)

(1,1)

b)

(0,0)

72.

Name the Axis of Symmetry

a)

x = 1

b)

x = 0

73.

What is the minimum value of the quadratic function

f(x) = x² - 2x + 7

a)

6

b)

7

74.
What is the axis of symmetry for the following equation?
y=4x2-8x+9
a)
x=-8
b)
x=1
c)
x=-1
d)
x=2
75.
Find the vertex of 
f(x) = -x2 - 4x + 12
a)
(-2, 16)
b)
(2, 0)
c)
(2, 4)
d)
(-2, 4)

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