Section 9 3 Day 1 Transformations of Quadratic

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Section 9. 3 Day 1 Transformations of Quadratic Functions Algebra 1

Section 9. 3 Day 1 Transformations of Quadratic Functions Algebra 1

Learning Targets Define transformation, translation, dilation, and reflection Identify the parent graph of a

Learning Targets Define transformation, translation, dilation, and reflection Identify the parent graph of a quadratic function Graph a vertical and horizontal translation of the quadratic graph Describe how the leading coefficient of a quadratic graph changes the dilation of the parent graph Graph a reflection of a quadratic graph Identify the quadratic equation from a graph

Key Terms and Definitions Transformation: Changes the position or size of a figure Translation:

Key Terms and Definitions Transformation: Changes the position or size of a figure Translation: A specific type of transformation that moves a figure up, down, left, or right.

Key Terms and Definitions Dilation: A specific type of transformation that makes the graph

Key Terms and Definitions Dilation: A specific type of transformation that makes the graph narrower or wider than the parent graph Reflection: Flips a figure across a line

Key Terms and Definitions

Key Terms and Definitions

Horizontal Translations

Horizontal Translations

Vertical Translations

Vertical Translations

Horizontal Translations: Example 1

Horizontal Translations: Example 1

Vertical Translations: Example 2

Vertical Translations: Example 2

Translations: Example 3

Translations: Example 3

Translations: Example 4

Translations: Example 4

Dilations

Dilations

Vertical Compression: Example 1

Vertical Compression: Example 1

Vertical Stretch: Example 2

Vertical Stretch: Example 2

Dilation: Example 3

Dilation: Example 3

Dilation: Example 4

Dilation: Example 4

Reflections Across the X-Axis

Reflections Across the X-Axis

 Reflections Across the x-axis: Example 1

Reflections Across the x-axis: Example 1

Reflections: Example 3

Reflections: Example 3

Identifying From a Graph Procedure Check for a horizontal or vertical translation Check for

Identifying From a Graph Procedure Check for a horizontal or vertical translation Check for a reflection across the x-axis Check for a dilation

Identifying: Example 1

Identifying: Example 1

Identifying: Example 2

Identifying: Example 2

Identifying: Example 3

Identifying: Example 3

Identifying: Example 4

Identifying: Example 4