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9-12 Algebra 2 Unit 6 Lesson 14

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K-5 Math 6-8 Math •9-12 Math

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Algebra 1 Geometry •Algebra 2 Extra Support Materials for Algebra 1

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Unit 1 Unit 2 Unit 3 Unit 4 Unit 5 •Unit 6 Unit 7 Unit 8

Modeling Prompts

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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 8

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Lesson 3
Lesson 4
Lesson 5
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Lesson 7
Lesson 8
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Lesson 14
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Unit 6, Lesson 14

Transforming Circles

Algebra 2

Practice

Problem 1

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?

Problem 2

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?

Problem 3

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?

Problem 4

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?

Problem 5

ForLesson 12: Transformation Effects

Describe the transformation from to if is equal to:

Problem 6

ForLesson 13: Transforming Parabolas

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.

Problem 7

ForLesson 13: Transforming Parabolas

What transformations will take the parabola

to the parabola

?