Warm Up (3,2), (6,2) (5,6), (-2, -1) (-1, 2), (3, 5)

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Warm Up (3,2), (6,2) (5,6), (-2, -1) (-1, 2), (3, 5) Write the equation of the line through the points: (3,2), (6,2) (5,6), (-2, -1) (-1, 2), (3, 5)

Check Homework!

Check Homework!

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Parent Functions Name Characteristics Parent Function Constant Function Straight horizontal line y = a, where a is a real number Linear Function Straight diagonal line Identify Function y = x Absolute Value Function Diagonal lines shaped like a V y = |x| Quadratic Function Curved like a parabola y = x2

Example 1 Identify the type of function represented by the graph. a) b)

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2.7 Day 2 Notes: Transformations of Parent Functions Agenda Check Homework 2.7 Day 2 Notes Transformations Foldable

Check Homework!

Transformations Transformations: Transformations of a parent graph may appear in a different location, may flip over an axis, or may appear to have been stretched or compressed.

Types of Transformations Parent Graph: f(x) Vertical Shift Up Vertical Shift Down Horizontal Shift Right Horizontal Shift Left Reflection of x-axis Reflection over y-axis Vertical Shrink Vertical Stretch Horizontal Stretch Horizontal Shrink

Example 1 Describe the reflection in y = –|x|. Then graph the function.

Example 2 Describe the translation in the function y = |x + 5|. Then graph the function.

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Example 4 Describe the dilation in the function y = - 1 2 x Then graph the function.

Summarize!