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Identify parts of a parabola - Printable Mathematics Worksheets year 9 - Wayground

Identify parts of a parabola

20 questions

9th - 9th Grade

Mathematics

This free Grade 9 mathematics worksheet helps students identify and interpret key features of a parabola from its graph. Across 20 multiple-choice questions, students distinguish maximum and minimum points, identify the vertex, write or recognize the axis of symmetry, locate y-intercepts and x-intercepts, and connect roots with zeros. It also reinforces that a parabola is the graph of a quadratic function and that the axis of symmetry divides it into two matching halves. The questions combine vocabulary recognition with reading coordinates and equations from quadratic graphs, giving teachers a focused check of students’ understanding of parabola structure. Use it for guided practice, independent review, or a formative assessment after introducing quadratic functions. The worksheet is available as a free printable PDF and includes a complete answer key for efficient checking.

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Worksheets

Identify parts of a parabola

Total questions: 20

Name
Class
Date
1.
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
2.
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
3.
What is the green dot on the parabola called?
a)
maximum
b)
minumum
c)
roots
d)
zeros
4.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
symmetrical point for the vertex
5.
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.
6.
What is the vertex?
a)
(4,-4)
b)
(2,0)
c)
(0,2)
d)
(6,0)
7.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
Vertex Form
8.
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
9.
Identify the y-intercept
a)
(-1,9)
b)
(0,-8)
c)
(-4,0)
d)
(0,0)
10.
What is a Parabola?
a)
The graph of a quadratic function
b)
The graph of a linear function
c)
The graph of an absolute value function
d)
A boat
11.
What are the x- intercepts?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
12.
.How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
13.
What are the x-intercepts?
a)
0 and 2
b)
-4 and 0
c)
2 and 3
d)
0 and 4
14.
What divides the parabola into 2 perfect halves?
a)
Axis of Symmetry
b)
Vertex
c)
Axis of Doom
d)
x - intercept
15.
What is another word for ROOTS?
a)
Zeros
b)
y-intercept
c)
Maximum
d)
Vertex
16.

What is the axis of symmetry?

a)

x = -1

b)

x = -2

c)

y = -1

d)

y = -2

17.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
18.

What's the vertex of the parabola?

a)

(-2,4)

b)

(-1,1)

c)

(0,0)

d)

(2,4)

19.
Identify the vertex
a)
(-1,-9)
b)
(0,-8)
c)
(-4,0)
d)
(0,0)
20.

What is the minimum of the function?

a)

A -9

b)

B) 0

c)

C) 4

d)

D) 8

Answer Key

Identify parts of a parabola

Total questions: 20

1.
a) Minimum
2.
b) x=3
3.
a) maximum
4.
c) vertex
5.
c) The highest or lowest point of a parabola
6.
a) (4,-4)
7.
a) Parabola
8.
b) the dividing line for a parabola
9.
b) (0,-8)
10.
a) The graph of a quadratic function
11.
b) x= 0 and x= 4
12.
b) 2
13.
d) 0 and 4
14.
a) Axis of Symmetry
15.
a) Zeros
16.
b)

x = -2

17.
b) minimum
18.
c)

(0,0)

19.
a) (-1,-9)
20.
a)

A -9

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FAQs

What does this Identify Parts of a Parabola worksheet cover?

This Grade 9 worksheet uses 20 multiple-choice questions to assess students’ ability to identify the vertex, maximum or minimum, axis of symmetry, y-intercept, x-intercepts, and zeros on a parabola. Students also connect related vocabulary, such as roots and zeros, and recognize a parabola as the graph of a quadratic function.

How can I use this worksheet to teach students to identify parts of a parabola?

First model one parabola by locating its highest or lowest point, drawing attention to the axis of symmetry, and then identifying where the graph crosses the axes. Next, have students complete the multiple-choice items and explain why a selected coordinate is a vertex, y-intercept, or x-intercept. Use the questions about roots and zeros to reinforce equivalent terminology.

What mistakes should I watch for when students complete this parabola worksheet?

Students may confuse the vertex with an intercept, choose a y-coordinate instead of the full vertex coordinate, or mistake an x-intercept for a y-intercept. Watch for confusion between a maximum and a minimum, between the axis of symmetry and the x-axis, and between the equation of the axis, such as x = 3, and a point on the graph. Students may also overlook that roots and zeros refer to the x-intercepts.

How do I assign and grade this parabola worksheet?

Wayground provides this worksheet as both a printable PDF and a digital quiz, with a complete answer key for the 20 multiple-choice questions. For printable submissions, you can scan student work with the Wayground for Teachers app to help grade responses efficiently.

How can I differentiate this worksheet for my students?

For the multiple-choice questions about parabola features and coordinates, use the worksheet’s Advanced Settings to adjust font spacing or choose a larger font size for easier visual tracking. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support access to the graph vocabulary and answer choices.

Where can I find more worksheets like this on Wayground?

Wayground offers a broad collection of free printable worksheets and practice problems across subjects, with downloadable PDFs and answer keys to support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

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