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Mrs. B's Parts of a Parabola - Printable Mathematics Worksheets class 10 - Wayground

Mrs. B's Parts of a Parabola

14 questions

10th - 10th Grade

Mathematics

Mrs. B's Parts of a Parabola is a Grade 10 mathematics worksheet that helps students identify key features of quadratic graphs. Students determine the name of the graph’s shape, read vertices and y-intercepts from coordinate options, count and identify x-intercepts, write the axis of symmetry, and decide whether each parabola opens upward or downward. They also connect the direction of opening to whether the vertex represents a maximum or minimum. The worksheet contains 14 questions: 13 multiple-choice items and one multiple-select item requiring students to select both x-intercepts. It uses two sets of parabola features so students can apply the same vocabulary and graph-reading process to different examples, including a parabola with two x-intercepts and a downward-opening parabola with a maximum, as well as one with no x-intercepts and an upward-opening parabola with a minimum. This free printable worksheet includes a complete answer key for instruction, independent practice, or review.

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Worksheets

Mrs. B's Parts of a Parabola

Total questions: 14

Name
Class
Date
1.

When you graph a quadratic,

what is the name of the shape?

a)

line

b)

curve

c)

parabola

d)

vertex

2.

Name the vertex.

a)

(0, -3)

b)

(1, 0)

c)

(2, 1)

d)

(3, 0)

3.

Name the y-intercept.

a)

(0, -3)

b)

(1, 0)

c)

(2, 1)

d)

(3, 0)

4.

How many x-intercepts does this parabola have?

a)

none

b)

one

c)

two

d)

three

5.

Name the x-intercepts.

hint: There are two of them.

a)

(0, -3)

b)

(1, 0)

c)

(2, 1)

d)

(3, 0)

6.

Name the axis of symmetry.

a)

y=−3y=-3

b)

x=1x=1

c)

x=2x=2

d)

x=3x=3

e)

y=1y=1

7.

Does this parabola open up or down?

a)

up

b)

down

8.

Is the vertex a maximum or a minimum?

a)

maximum

b)

minimum

9.

Name the vertex.

a)

(-2, 5)

b)

(-1, 2)

c)

(0,1)

d)

(1, 2)

e)

(2, 5)

10.

Name the y-intercept.

a)

(-2, 5)

b)

(-1, 2)

c)

(0, 1)

d)

(1, 2)

e)

(2, 5)

11.

How many x-intercepts does this parabola have?

a)

none

b)

one

c)

two

d)

three

12.

Name the axis of symmetry.

a)

y=1y=1

b)

x=1x=1

c)

x=0x=0

d)

y=2y=2

13.

Does this parabola open up or down?

a)

up

b)

down

14.

Is the vertex a maximum or a minimum?

a)

maximum

b)

minimum

Answer Key

Mrs. B's Parts of a Parabola

Total questions: 14

1.
c)

parabola

2.
c)

(2, 1)

3.
a)

(0, -3)

4.
c)

two

5.
b)

(1, 0)

, d)

(3, 0)

6.
c)

x=2x=2

7.
b)

down

8.
a)

maximum

9.
c)

(0,1)

10.
c)

(0, 1)

11.
a)

none

12.
c)

x=0x=0

13.
a)

up

14.
b)

minimum

FAQs

What does Mrs. B's Parts of a Parabola worksheet cover?

This Grade 10 worksheet uses 13 multiple-choice questions and one multiple-select question to practice identifying parts of quadratic graphs, including the vertex, y-intercept, x-intercepts, axis of symmetry, direction of opening, and whether the vertex is a maximum or minimum. Comparing two sets of parabola features helps students connect graph structure with coordinate locations and intercept behavior.

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

Introduce the vocabulary by having students locate the vertex, y-intercept, x-intercepts, and axis of symmetry on a displayed quadratic graph. Then use the worksheet’s two examples to prompt comparisons: students can explain why the downward-opening parabola has a maximum and two x-intercepts, while the upward-opening parabola has a minimum and no x-intercepts.

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

Watch for students confusing the vertex with the y-intercept, especially when both are listed as coordinate options, or choosing a y-value such as y = 1 instead of the axis-of-symmetry equation x = 2 or x = 0. In the multiple-select item, students must select both x-intercepts, and students may also reverse the relationship between opening upward or downward and a minimum or maximum.

How do I assign and grade Mrs. B's Parts of a Parabola 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 14 items. Printable submissions can be graded by scanning student work with the Wayground for Teachers app, while the digital version supports online completion and grading.

How can I differentiate this parts-of-a-parabola worksheet for my students?

Under the worksheet’s Advanced Settings, adjust font spacing or choose a larger font size to make the coordinate choices and parabola vocabulary easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while keeping the vertex, intercept, and axis-of-symmetry questions 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.