Wayground
Graphing a Quadratic Function - Printable Math Worksheets 11th Grade - Wayground

Graphing a Quadratic Function

Barbara White

Created by Barbara White

25 questions

11th Grade

Math

Graphing a Quadratic Function is a free printable Grade 11 mathematics worksheet with 25 multiple-choice questions on the key features and forms of quadratic functions. Students identify parabolas, standard form, vertices, axes of symmetry, y-intercepts, and whether a parabola opens upward or downward. They also determine whether a quadratic has a maximum or minimum by interpreting the value of a. This worksheet helps students connect equations with the features they see on quadratic graphs. Questions use equations such as y = ax² + bx + c and graph-based prompts, requiring students to distinguish coordinates, recognize standard form, and apply the relationship between the coefficient a and the parabola’s direction. It is suitable for guided practice, independent review, or a formative check after instruction on quadratic graphs. The free printable worksheet includes a complete answer key for efficient checking and feedback.

Worksheet settings

Font size

S
M
L
XL
WaygroundWorksheets

Graphing a Quadratic Function

Total questions: 25

Name
Class
Date
1.
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
2.
The graph of a quadratic function is called a
a)
Parabola
b)
Vertex
c)
Axis of Symmetry 
d)
Vertex Form
3.

Which is the vertex of y = x2+ 16x + 71 ?

a)

V(-8, 7)

b)

V(-8, 3)

c)

V(8, 10)

d)

V(16, -2)

4.

Find the y-intercept y = x2 - 6x + 5

a)

(0, 8)

b)

(0, - 6)

c)

(5, 0)

d)

(0, 5)

5.

Find the y-intercept of f(x) = 2x2 - 2x + 1

a)

(1,0)

b)

(-2,0)

c)

(0,1)

d)

(0, -1)

6.
Does the equation open up or down? 
Y = -3x2 +7x - 2
a)
up
b)
down
c)
Neither; it opens to the right.
d)
Neither; it opens to the left.
7.
What is the name of this form:
y = ax2 + bx + c
a)
vertex form
b)
standard form
c)
factored form
d)
zero form
8.
What is the maximum/minimum of a parabola called?
a)
vertex
b)
point
c)
top
d)
bottom
9.
What is the vertex of this parabola?
What is the vertex of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
10.
What is the y-intercept of this parabola?
What is the y-intercept of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
11.
Where is the axis of symmetry for this parabola?
Where is the axis of symmetry for this parabola?
a)
x = −1
b)
x = 0
c)
y = 3
d)
x = −3
12.

How do you know if a parabola has a minimum?

a)

When ‘a’ is positive there is a minimum

b)

When ‘a’ is negative there is a minimum

c)

When all the numbers in the equation are negative there is a minimum

d)

When all the numbers in the equation are positive there is a minimum

13.
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

14.

How can you tell whether a parabola opens up or opens down by looking at the equation?

a)

The vertex tells you the direction of the opening

b)

The value of "a" tells you the direction of the opening.

c)

All parabolas open upward

d)

All parabolas open downward

15.

What is the standard form of a quadratic equation?

a)

y=mx+b

b)

y=x2

c)

y=ax2+bx+c

d)

y=a(x-h)2+k

16.

What is the axis of symmetry for this function: -x2+10x-17

a)

x= 10

b)

x= -10

c)

x= -5

d)

x= 5

17.

The axis of symmetry for the function 2x2+8x+2 is x=-2. What is the vertex?

a)

(-2, -6)

b)

(-6, -2)

c)

(2, 6)

d)

(6, 2)

18.
What is the range of the graph?

What is the range of the graph?

a)

x > 0

b)

y ≤ 8

c)

All real numbers

d)

y >8

19.
What is the vertex of y= x2 - 8x + 14 ?
a)
(2, 4)
b)
(-4, -2)
c)
(4, -2)
d)
(-2, 4)
20.
Find the vertex of the quadratic:
y = -2x2 + 4x + 3
a)
(0, 3)
b)
(-1, 5)
c)
(1, 5)
d)
(1, -5)
21.
Question Image
a)
A
b)
B
c)
C
d)
D
22.
Question Image
a)
A
b)
B
c)
C
d)
D
23.
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

24.
What is the range of this function?

What is the range of this function?

a)

y≥2y\ge2  

b)

y>−2y>-2  

c)

y≥−2y\ge-2  

d)

y>2y>2  

25.
Which answer choice describes  y = -3x2 +7x - 2 accurately?
a)
opens up with a maximum
b)
opens up with a minimum
c)
opens down with a maximum
d)
opens down with a minimum 
WaygroundAnswer Key

Graphing a Quadratic Function

Total questions: 25

1.
c) x = -3
2.
a) Parabola
3.
a)

V(-8, 7)

4.
d)

(0, 5)

5.
c)

(0,1)

6.
b) down
7.
b) standard form
8.
a) vertex
9.
a) (−1, 3)
10.
d) (0, 5)
11.
a) x = −1
12.
a)

When ‘a’ is positive there is a minimum

13.
b)

x = 3

14.
b)

The value of "a" tells you the direction of the opening.

15.
c)

y=ax2+bx+c

16.
d)

x= 5

17.
a)

(-2, -6)

18.
b)

y ≤ 8

19.
c) (4, -2)
20.
c) (1, 5)
21.
b) B
22.
b) B
23.
b)

minimum

24.
c)

y≥−2y\ge-2  

25.
c) opens down with a maximum

Browse by subjects

Browse by grades

Browse by format

FAQs

What does this Graphing a Quadratic Function worksheet cover?

This Grade 11 worksheet uses 25 multiple-choice questions to assess key features of quadratic functions, including the vertex, axis of symmetry, y-intercept, direction of opening, and maximum or minimum. Students also identify standard form, y = ax² + bx + c, and connect the value of a to whether a parabola opens up or down.

How can I use this worksheet to teach the key features of a quadratic function?

Introduce the worksheet by reviewing how to read the coefficient a, locate the y-intercept by setting x to 0, and identify the vertex and axis of symmetry. As students answer the multiple-choice items, ask them to explain why a coordinate such as (0, 5) is a y-intercept and why the axis of symmetry must be written as a vertical line, x = a number.

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

Students may confuse the vertex with the y-intercept, select a y-coordinate for the axis of symmetry instead of an x-value, or read the constant term as the y-intercept without checking that x = 0. They may also reverse the effect of a, choosing an upward opening for a negative coefficient or calling standard form y = a(x − h)² + k.

How do I assign and grade this quadratic function worksheet?

The worksheet is available as a printable PDF and as a digital quiz on Wayground, and it includes a complete answer key. You can grade printed submissions by scanning student work with the Wayground for Teachers app, or review responses through the digital quiz.

How can I differentiate this Graphing a Quadratic Function worksheet?

In the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the equation-and-graph multiple-choice items easier to read. You can also apply a dyslexia-friendly font or translate the worksheet into another language while keeping the quadratic-function questions and answer choices intact.

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 support essential skills and concepts. Browse more resources at https://wayground.com/en-us/worksheets.

© 2026 Wayground Inc.

Accessibility and Inclusion