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9-12 Integrated Math 3 Unit 5 Lesson 14

Gradeband

K-5 Math 6-8 Math •9-12 Math

Course

Integrated Math 1 Integrated Math 2 •Integrated Math 3

Unit

Unit 1 Unit 2 Unit 3 Unit 4 •Unit 5 Unit 6 Unit 7

Modeling Prompts

Lesson

Lesson 1 Lesson 2 Lesson 3 Lesson 4 Lesson 5 Lesson 6 Lesson 7 Lesson 8 Lesson 9 Lesson 10 Lesson 11 Lesson 12 Lesson 13 •Lesson 14 Lesson 15

K-5
6-8
9-12

Integrated Math 1
Integrated Math 2
Integrated Math 3

Algebra 1
Geometry
Algebra 2
Extra Support Materials for Algebra 1

Unit 1
Unit 2
Unit 3
Unit 4
Unit 5
Unit 6
Unit 7

Modeling Prompts

Lesson 1
Lesson 2
Lesson 3
Lesson 4
Lesson 5
Lesson 6
Lesson 7
Lesson 8
Lesson 9
Lesson 10
Lesson 11
Lesson 12
Lesson 13
Lesson 14
Lesson 15

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Unit 5, Lesson 14

Transforming Circles

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Integrated Math 3

Practice

Problem 1
Student Task Statement
Here is an equation of a transformed circle:

Rewrite an equation for the circle by completing the square.

What transformations would take the circle to this transformed circle?

What is the center and radius of the transformed circle?

to access Practice Problem Solutions.

Problem 2

Student Task Statement

A circle has been transformed from an original circle with equation by dilating by a factor of , shifting up 5, and shifting left 7.

Write an equation for the circle.
What are the center and radius of this circle?

to access Practice Problem Solutions.

Problem 3

Student Task Statement

A circle has been transformed from the circle with equation . The equation for the transformed circle is .

What transformations were performed on the circle?
What are the center and radius of the new circle?

to access Practice Problem Solutions.

Problem 4

Student Task Statement

A circle has been transformed from a circle with equation . An equation for the transformed circle is .

What transformations were performed on the circle?
What are the center and radius of the transformed circle?

to access Practice Problem Solutions.

Problem 5

ForLesson 12: Transformation Effects

Student Task Statement

Describe the transformation from to if is equal to:

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Problem 6

ForLesson 13: Transforming Parabolas

Student Task Statement

Here is an equation of a parabola in standard form:

Rewrite the equation in vertex form by completing the square.
Identify the transformations from the graph of to this parabola.
Identify the vertex and -intercept of this parabola.

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Problem 7

ForLesson 13: Transforming Parabolas

Student Task Statement

What transformations will take the parabola

to the parabola

?

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Lesson 14 Resources

Student Materials