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Attributes of Quadratic Functions - Printable Math Worksheets 8th Grade - Wayground

Attributes of Quadratic Functions

Barbara White

Created by Barbara White

20 questions

8th Grade

Math

Updated Apr 2026

Attributes of Quadratic Functions is a Grade 8 mathematics worksheet that builds students’ ability to read and interpret quadratic-function graphs. Across 20 multiple-choice questions, students identify the y-intercept, vertex, axis of symmetry, domain, range, x-intercepts, roots or zeros, and maximum or minimum value. They also recognize a parabola, identify the number of solutions from a graph, and distinguish the standard form of a quadratic equation. This free printable worksheet gives students repeated practice connecting graph features with the vocabulary and representations used to describe quadratic functions. The selected-response format supports independent practice, review, or a quick check for understanding after instruction on parabolas and their attributes. A complete answer key is included so teachers can review students’ choices efficiently and address misconceptions about coordinates, intercepts, and solution sets.

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WaygroundWorksheets

Attributes of Quadratic Functions

Total questions: 20

Name
Class
Date
1.
Using the graph of the quadratic function, identify the y-intercept.

Using the graph of the quadratic function, identify the y-intercept.

a)

(4, -6)

b)

(0, 2)

c)

(.5, 0)

d)

(7.5, 0)

2.

What is a parabola?

a)

The straight graph of a quadratic function

b)

The circular graph of a quadratic function

c)

The V-shaped graph of a quadratic function

d)

The U-shaped graph of a quadratic function

3.
Using the graph of the quadratic function, identify the vertex.

Using the graph of the quadratic function, identify the vertex.

a)

(4, -6)

b)

(0, 2)

c)

(.5, 0)

d)

(7.5, 0)

4.
Using the graph of the quadratic function, identify the domain.

Using the graph of the quadratic function, identify the domain.

a)

y > -6

b)

-2 < x < 10

c)

-∞ < x < ∞

d)

y < -6

5.
Using the graph of the quadratic function, identify the range.

Using the graph of the quadratic function, identify the range.

a)

y < -6

b)

-2 < x < 10

c)

-∞ < x < ∞

d)

-6 ≤ y < ∞

6.

What is the axis of symmetry?

a)

A line whose equation is the x-coordinate of a parabola's vertex

b)

A central line that divides a parabola into mirror images

c)

A line that intersects a parabola at the vertex

d)

All of the above

7.

Which of the following graphs appropriately marks the axis of symmetry?

a)
Which of the following graphs appropriately marks the axis of symmetry?
b)
Which of the following graphs appropriately marks the axis of symmetry?
c)
Which of the following graphs appropriately marks the axis of symmetry?
d)
Which of the following graphs appropriately marks the axis of symmetry?
8.

Which of the following equations is written in the standard form for quadratic equations?

a)

8x + 4y = 12

b)

y = 4x2 - 7x + 11

c)

3x2 + 2x = 1

d)

2x2 - x3 + 14 = y

9.
What is another word for zeros?
a)
y-intercepts
b)
roots
c)
vertex
d)
axis of symmetry
10.
Does this graph have a maximum or minimum value?
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
11.
Use the graph to determine the solutions. *Hint: Solutions = roots = zeros = x-intercepts
Use the graph to determine the solutions.
*Hint: Solutions = roots = zeros = x-intercepts
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
12.
What are the x-intercepts?
What are the x-intercepts?
a)
0 and 2
b)
-4 and 0
c)
2 and 3
d)
0 and 4
13.
The point in which a graph hits the x-axis is know as the _____
The point in which a graph hits the x-axis is know as the _____
a)
Solution
b)
x-intercept
c)
Root
d)
All answers are correct
14.
How many solutions does this graph have?
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
15.
What is the vertex?
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
16.
.How many zeros does this parabola have?
.How many zeros does this parabola have? 
a)
3
b)
2
c)
0
d)
1
17.
Find the zeros.
Find the zeros.
a)
0 and 4
b)
0 and -4
c)
0
d)
-4
18.
What is the range of this function?
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.
19.
What is the range of this quadratic function?
What is the range of this quadratic function?
a)
All real numbers.
b)
All real numbers greater than or equal to 2.
c)
All real numbers greater than or equal to 4.
d)
All real numbers less than or equal to 4.
20.
Name the parent function.
Name the parent function.
a)
linear
b)
quadratic
c)
cubic
d)
logarithmic
WaygroundAnswer Key

Attributes of Quadratic Functions

Total questions: 20

1.
b)

(0, 2)

2.
d)

The U-shaped graph of a quadratic function

3.
a)

(4, -6)

4.
c)

-∞ < x < ∞

5.
d)

-6 ≤ y < ∞

6.
d)

All of the above

7.
c)
8.
b)

y = 4x2 - 7x + 11

9.
b) roots
10.
b) minimum
11.
c) 1 and 3
12.
d) 0 and 4
13.
d) All answers are correct
14.
c) no solutions
15.
b) (3, -1)
16.
b) 2
17.
a) 0 and 4
18.
c) All real numbers greater than or equal to -2.
19.
d) All real numbers less than or equal to 4.
20.
b) quadratic

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FAQs

What does this Attributes of Quadratic Functions worksheet cover?

This Grade 8 worksheet uses 20 multiple-choice questions to assess how students interpret quadratic-function graphs and related vocabulary. Students identify vertices, y- and x-intercepts, roots or zeros, axes of symmetry, domain, range, maximum or minimum values, and the number of solutions, while also recognizing a parabola and standard quadratic form.

How can I use this worksheet to teach students the attributes of quadratic functions?

Introduce the worksheet by modeling one parabola and labeling its vertex, axis of symmetry, intercepts, domain, and range. Then have students explain why roots, zeros, solutions, and x-intercepts can describe the same graph feature before completing the multiple-choice items. Use the graph-based questions as discussion prompts, asking students to justify each coordinate or interval from the graph rather than choosing by vocabulary alone.

What mistakes should I watch for when students complete this quadratic-functions worksheet?

Watch for students confusing the vertex with the y-intercept or selecting an x-intercept when a question asks for the vertex. Students may also reverse domain and range, report only the x-values instead of the full intercept coordinates, or treat roots, zeros, and solutions as different quantities. For the graph questions, check that students use the direction of the parabola to determine whether the graph has a minimum or maximum and count its x-axis intersections accurately.

How do I assign and grade this quadratic-functions worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key for all 20 multiple-choice questions. Printable submissions can be graded by scanning student work with the Wayground for Teachers app. The printable option can also support schools that are reducing screen time while students practice graph attributes.

How can I differentiate this quadratic-functions worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or font size so the coordinate choices, graph labels, and multiple-choice options are easier to read. You can also apply a dyslexia-friendly font or translate the quadratic-functions worksheet into another language when appropriate for your learners.

Where can I find more worksheets like this on Wayground?

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

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