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11.1 Quadratic Graph Characteristics - Printable Mathematics Worksheets year 9 - Wayground

11.1 Quadratic Graph Characteristics

10 questions

9th - 9th Grade

Mathematics

11.1 Quadratic Graph Characteristics is a Grade 9 mathematics worksheet that helps students identify and interpret the key features of a quadratic graph. Students locate the y-intercept, vertex, zeros, maximum, and minimum on displayed parabolas using hotspot questions, then reinforce vocabulary through multiple-choice items about parabolas and the axis of symmetry. The worksheet also asks students to match coordinates and equations with graph features through a drag-and-drop activity and label key features with a dropdown question. This combination builds accuracy in reading quadratic graphs and distinguishing related terms such as vertex, zero, y-intercept, and axis of symmetry. It is a free printable worksheet with a complete answer key, suitable for Grade 9 instruction, guided practice, or independent review.

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Worksheets

11.1 Quadratic Graph Characteristics

Total questions: 10

Name
Class
Date
1.

Click on the graph where the y-intercept of the quadratic function is located.

A
B
C
2.

Click on the graph where the vertex of the quadratic function is located.

A
B
C
D
3.

A graph of a quadratic function is shown. What are the zeros of the function?

Select two answers.

A
B
C
D
E
4.

Identify the parts of the parabola:

maximum

A
B
C
D
E
F
G
H
5.

Identify the parts of the parabola:

minimum

A
B
C
D
E
F
G
H
6.
What is a Parabola?
a)
The graph of a quadratic function
b)
The graph of a linear function
c)
The graph of an absolute value function
d)
A boat
7.
The axis of symmetry line passes through which point?
a)
y-intercept
b)
any random point
c)
vertex
d)
symmetrical point for the vertex
8.
What is the green dashed line called?
a)
roots or x-intercepts
b)
parabola
c)
axis of symmetry
d)
line of dashes
9.

The graph of quadratic function f is shown on the grid.

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Minimum Value: (d)  

Choose from the below words
(-3, -5)
(0, 4)
x = -3
-5
(-2, -4)
(-6, 4)
(4, 0)
4
x = -5
-4
10.

Label the Graph with the Correct Key Features.

1. ​ (a)   2. ​ (b)   ​

3. ​ (c)   ​ 4. ​ (d)  

Choose from the below words
Y-Intercept
Zero
Vertex
Answer Key

11.1 Quadratic Graph Characteristics

Total questions: 10

1.
2.
3.
4.
5.
6.
a) The graph of a quadratic function
7.
c) vertex
8.
c) axis of symmetry
9.
(-3, -5), (0, 4), x = -3, -5
10.
Y-Intercept, Zero, Vertex, Zero

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FAQs

What does the 11.1 Quadratic Graph Characteristics worksheet cover?

This Grade 9 worksheet focuses on identifying the vertex, y-intercept, zeros, maximum or minimum, and axis of symmetry of a quadratic graph. Its five hotspot questions require students to locate features directly on parabolas, while multiple-choice, drag-and-drop, and dropdown items reinforce the related vocabulary and graph labels.

How can I use this worksheet to teach quadratic graph characteristics?

Introduce a displayed parabola by reviewing what the vertex, y-intercept, zeros, and axis of symmetry represent, then model how to locate each feature before students complete the hotspot items. Use the multiple-choice questions to check vocabulary, and have students explain why the axis of symmetry passes through the vertex before they complete the drag-and-drop and dropdown labeling tasks.

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

Students may confuse the zeros or x-intercepts with the y-intercept, or select a point other than the vertex as the point on the axis of symmetry. When completing the graph-feature matching item, check that they distinguish a coordinate such as the vertex or y-intercept from a value such as the minimum, and that they identify whether the parabola has a maximum or minimum.

How do I assign and grade this quadratic graph 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 printable submissions by scanning student work with the Wayground for Teachers app, or review responses through the digital version.

How can I differentiate this worksheet for my students?

Use the worksheet’s Advanced Settings to adjust font spacing or increase the font size so labels and directions for the parabola-identification items are easier to read. You can also enable a dyslexia-friendly font or translate the worksheet into another language while students work with the graph-feature labels.

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.

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