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Day 1: Introduction to Quadratic Functions - Printable Math Worksheets 8th Grade - Wayground

Day 1: Introduction to Quadratic Functions

Anissa Richardson

Created by Anissa Richardson

10 questions

8th Grade

Math

Updated Jun 2026

Day 1: Introduction to Quadratic Functions is a Grade 8 mathematics worksheet that introduces students to the key features of quadratic graphs. Through 10 multiple-choice questions, students identify vertices, x-intercepts, y-intercepts, the axis of symmetry, and whether a parabola has a maximum or minimum value. They also recognize the parabolic shape of a quadratic graph and interpret its end behavior as x approaches positive or negative infinity. The worksheet gives students focused practice reading graphical information and connecting visual features to quadratic-function vocabulary. It is useful for an introductory lesson, guided practice, or a quick check of understanding before students work with quadratic equations in greater depth. This is a free printable worksheet with a complete answer key, making it straightforward to use for independent practice, review, or formative assessment.

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Day 1: Introduction to Quadratic Functions

Total questions: 10

Name
Class
Date
1.
What is the vertex?

What is the vertex?

a)

(-3, 0)

b)

(3, 0)

c)

(0, 18)

d)

(18, 0)

2.
What is the significance of the ordered pair (3, 0) to the graph?

What is the significance of the ordered pair (3, 0) to the graph?

a)

It is the maximum point

b)

It is the vertex

c)

It is the y-intercept

d)

It is an x-intercept

3.
What is the significance of the ordered pair (1, -2) to the graph?

What is the significance of the ordered pair (1, -2) to the graph?

a)

It is the maximum point

b)

It is the vertex

c)

It is the y-intercept

d)

It is an x-intercept

4.

Quadratic equations take the shape of a _______ when graphed.

a)

parabola

b)

straight line

c)

snaked line

d)

elliptical

5.
Describe the end behavior of the graph.
Describe the end behavior of the graph.
a)
x → ∞, y→ ∞ and
x→ ∞, y→⁻∞
b)
x → ∞, y→ ∞ and
x→⁻∞, y→∞
c)
None of these
d)
x →∞,y→⁻∞ and
x→∞, y→⁻∞
6.
Describe the end behavior of the graph.
Describe the end behavior of the graph.
a)
x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
b)
x →∞, y→∞ and x→⁻∞, y→∞
c)
x →∞, y→∞ and x→⁻∞, y→0
d)
x →∞,y→∞ and x→⁻∞, y→⁻∞
7.
What is the equation for axis of symmetry?
What is the equation for axis of symmetry?
a)
y=3
b)
x=3
c)
x=5
d)
x=1
8.
Does this graph have a maximum or minimum?
Does this graph have a maximum or minimum?
a)
Minimum
b)
Maximum
9.
Is this a max or min?
Is this a max or min?
a)
max
b)
min
c)
cannot be determined
10.
Does this parabola have a minimum or maximum and what is its value?
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
WaygroundAnswer Key

Day 1: Introduction to Quadratic Functions

Total questions: 10

1.
c)

(0, 18)

2.
d)

It is an x-intercept

3.
b)

It is the vertex

4.
a)

parabola

5.
b) x → ∞, y→ ∞ and
x→⁻∞, y→∞
6.
a) x →∞, y→⁻∞ and x →⁻∞,y→⁻∞
7.
b) x=3
8.
a) Minimum
9.
a) max
10.
d) maximum: 5

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FAQs

What does this quadratic functions worksheet cover?

This Grade 8 worksheet uses 10 multiple-choice questions to practice interpreting key features of quadratic graphs. Students identify vertices, x-intercepts, the axis of symmetry, maximum or minimum values, the parabola’s shape, and end behavior, building accuracy with graph-based quadratic vocabulary.

How can I use this worksheet to teach students the features of a quadratic graph?

Introduce the graph vocabulary—vertex, intercept, axis of symmetry, maximum, minimum, and end behavior—before students complete the multiple-choice items. Then use the questions as a progression: identify the parabola and its points, interpret symmetry and turning points, and finish by discussing how each end of the graph behaves as x increases or decreases.

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

Watch for students reversing the coordinates of a vertex or intercept, confusing an x-intercept with the y-intercept, or selecting y = 3 instead of x = 3 for a vertical axis of symmetry. Students may also reverse the left- and right-end behavior or confuse a graph’s maximum with its minimum when identifying its turning point.

How do I assign and grade this quadratic functions worksheet?

On Wayground, you can assign this worksheet as a printable PDF or as a digital quiz containing the same multiple-choice practice on quadratic graph features. It includes a complete answer key, and printable student work can be graded by scanning it with the Wayground for Teachers app. The printable format can also support schools that are reducing screen time.

How can I differentiate this quadratic graph features worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so the coordinate pairs, answer choices, and end-behavior notation are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language when those options support access to the quadratic-function vocabulary.

Where can I find more free worksheets like this on Wayground?

Wayground offers a comprehensive collection of free printable worksheets and practice problems across 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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