Wayground
Parabolas review - Printable Mathematics Worksheets class 11 - Wayground

Parabolas review

15 questions

11th - 11th Grade

Mathematics

Parabolas Review is a free printable Grade 11 mathematics worksheet that checks students’ understanding of key parabola features, equations, and graphs. Across 15 questions, students identify vertices, axes of symmetry, y-intercepts, maximum or minimum values, and the meaning of the vertex. They also determine transformations from y = x², connect a parabola’s focus and directrix, find the p-value, and select graphs that match quadratic equations. The worksheet uses 11 multiple-choice questions, three multiple-select questions, and one fill-in-the-blank item. Students classify equations as vertex, standard, or intercept form and use both equations and graphs to recognize equivalent representations. This makes the resource useful for Grade 11 review, independent practice, or a formative check before assessment. It is a free printable worksheet with a complete answer key, giving teachers a ready-to-use way to evaluate students’ procedural accuracy and vocabulary related to parabolas.

Worksheet settings

Font size

S
M
L
XL
Worksheets

Parabolas review

Total questions: 15

Name
Class
Date
1.
What is the vertex of the parabola: y=2(x-3)2+4
a)
(3,4)
b)
(-3,4)
c)
(3, -4)
d)
(-3,-4)
2.
What is the p value of  y=(1/8)x2//
a)
8
b)
4
c)
1/8
d)
1/4
3.
A parabola is the set of all points equidistant from the focus and the directrix.
a)
true
b)
false
4.
Given the equation for this parabola:
 y=-(x-4)2-3,
does this parabola have a maximum or minimum value?
a)
Maximum
b)
Minimum
5.
What is the y-intercept of this parabola?
a)
(−1, 3)
b)
(−3, 11)
c)
(−2, 5)
d)
(0, 5)
6.
Where is the axis of symmetry for this parabola?
a)
x = −1
b)
x = 0
c)
y = 3
d)
x = −3
7.
What is the maximum/minimum of a parabola called?
a)
vertex
b)
point
c)
top
d)
bottom
8.

Explain the transformation of this graph when compared with y = x2:

y= - (x - 1)2 + 11

a)

right 1 , up 11

b)

vertically reflected, right 1, down 11

c)

reflected, right 1, up 11

d)

left 1, up 11

9.

f(x)=−(x−4)2+1f\left(x\right)=-\left(x-4\right)^2+1   Choose the correct graph for the given equation.

a)
b)
c)
d)
10.

Which is the graph of

y=(x−3)(x+5)y=\left(x-3\right)\left(x+5\right)  

a)

b)

c)

d)

11.
Which quadratic function is represented by the graph?
a)

y=−13(x+1)2+3y=-\frac{1}{3}\left(x+1\right)^2+3

b)

y=12(x−1)2+3y=\frac{1}{2}\left(x-1\right)^2+3

c)

y=−12(x+1)2+3y=-\frac{1}{2}\left(x+1\right)^2+3

d)

y=12(x−1)2+3y=\frac{1}{2}\left(x-1\right)^2+3

e)

y=−13(x−1)2+3y=-\frac{1}{3}\left(x-1\right)^2+3

12.

Which of the following is vertex form of a parabola?


Mark as many as apply

a)

f(x)=5(x−5)(x+7)f\left(x\right)=5\left(x-5\right)\left(x+7\right)

b)

f(x)=(5x−2)(x+6)f\left(x\right)=\left(5x-2\right)\left(x+6\right)

c)

f(x)=3(x−5)2+8f\left(x\right)=3\left(x-5\right)^2+8

d)

f(x)=−2x2+4x+20f\left(x\right)=-2x^2+4x+20

e)

none of these

13.

What is the axis of symmetry?

y=5(x+10)(x−6)y=5\left(x+10\right)\left(x-6\right)  

(a)  

14.

Which of the following is standard form of a parabola?


Mark as many as apply

a)

f(x)=5(x−5)(x+7)f\left(x\right)=5\left(x-5\right)\left(x+7\right)

b)

f(x)=(5x−2)(x+6)f\left(x\right)=\left(5x-2\right)\left(x+6\right)

c)

f(x)=3(x−5)2+8f\left(x\right)=3\left(x-5\right)^2+8

d)

f(x)=−2x2+4x+20f\left(x\right)=-2x^2+4x+20

e)

none of these

15.

Which of the following is intercept form of a parabola?

a)

f(x)=5(x−5)(x+7)f\left(x\right)=5\left(x-5\right)\left(x+7\right)

b)

f(x)=(5x−2)(x+6)f\left(x\right)=\left(5x-2\right)\left(x+6\right)

c)

f(x)=3(x−5)2+8f\left(x\right)=3\left(x-5\right)^2+8

d)

f(x)=−2x2+4x+20f\left(x\right)=-2x^2+4x+20

e)

none of these

Answer Key

Parabolas review

Total questions: 15

1.
a) (3,4)
2.
b) 4
3.
a) true
4.
a) Maximum
5.
d) (0, 5)
6.
a) x = −1
7.
a) vertex
8.
c)

reflected, right 1, up 11

9.
d)
10.
c)
11.
a)

y=−13(x+1)2+3y=-\frac{1}{3}\left(x+1\right)^2+3

12.
c)

f(x)=3(x−5)2+8f\left(x\right)=3\left(x-5\right)^2+8

13.
x=-2, x = -2
14.
d)

f(x)=−2x2+4x+20f\left(x\right)=-2x^2+4x+20

15.
a)

f(x)=5(x−5)(x+7)f\left(x\right)=5\left(x-5\right)\left(x+7\right)

Browse by subjects

Browse by grades

Browse by format

FAQs

What does the Parabolas Review worksheet cover?

This Grade 11 worksheet reviews how to interpret parabas features from equations and graphs, including the vertex, axis of symmetry, y-intercept, maximum or minimum value, opening direction, and transformations. Its 15 items combine multiple choice, multiple select, and fill-in-the-blank questions, including classification of vertex, standard, and intercept forms. Completing the set helps students connect an equation’s structure with the corresponding graph and key features.

How can I use this worksheet to teach students to interpret parabolas?

Introduce the worksheet by modeling one equation in vertex form and asking students to identify its vertex, axis of symmetry, opening direction, and transformation from y = x². Then have students complete the equation- and graph-identification items, pausing to justify why a selected graph or form matches. Use the multiple-select questions as discussion prompts so students explain why an equation is vertex, standard, or intercept form rather than choosing by visual pattern alone.

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

Watch for sign errors when students read a vertex from an expression such as y = 2(x − 3)² + 4, especially confusing a negative inside the parentheses with a negative x-coordinate. Students may also confuse the vertex with the axis of symmetry, reverse reflected and shifted transformations, or identify a maximum/minimum without checking whether the parabola opens down or up. In the multiple-select items, check that they select every equation in the requested form rather than treating the questions as single-answer items.

How do I assign and grade the Parabolas Review worksheet?

The worksheet is available on Wayground as a printable PDF and as a digital quiz, and it includes a complete answer key for checking the 15 responses. For printable submissions, you can grade student work by scanning it with the Wayground for Teachers app. The PDF option also supports schools that want to reduce screen time while retaining structured parabola practice.

How can I differentiate this parabola worksheet for my students?

Use the worksheet’s Advanced Settings to create a version with wider font spacing or a larger font size, which can make the equation, graph-selection, and multiple-select items easier to navigate. You can also enable a dyslexia-friendly font or translate the worksheet into another language. These changes apply to the worksheet file while preserving its focus on parabola features, transformations, graphs, and equation forms.

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.

© 2026 Wayground Inc.

Accessibility and Inclusion