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 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: 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 narrower or wider than the parent graph Reflection: Flips a figure across a line
Key Terms and Definitions
Horizontal Translations
Vertical Translations
Horizontal Translations: Example 1
Vertical Translations: Example 2
Translations: Example 3
Translations: Example 4
Dilations
Vertical Compression: Example 1
Vertical Stretch: Example 2
Dilation: Example 3
Dilation: Example 4
Reflections Across the X-Axis
Reflections Across the x-axis: Example 1
Reflections: Example 3
Identifying From a Graph Procedure Check for a horizontal or vertical translation Check for a reflection across the x-axis Check for a dilation