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Published byJayson Webster Modified over 6 years ago
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Do Now: Graph the point and its image in a coordinate plane.
1. P -5, 3; reflected in the y -axis 2. Q -4, -3; reflected in the x -axis
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1.1/1.2 Transformations of Linear Functions
Objective: To understand Function Families and how transformations effect them.
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Transformations Function Family: group of functions with similar characteristics Parent Function: most basic function in a family Transformation: changes the size, shape, position, or orientation of a graph. Translations Reflections Stretches Shrinks
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Parent Functions you should recognize
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Translations Transformation that shifts a graph horizontally or vertically. The size, shape, or orientation are NOT changed.
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Horizontal and Vertical Translations
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Example 1 Let 𝑓 𝑥 =2𝑥−1 Graph 𝑔(𝑥)=𝑓(𝑥)+3 Graph h(𝑥)=𝑓 (𝑥+3)
Describe the transformations
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Reflections Transformation that flips a graph over a line called the line of reflection.
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Example 2 Let 𝑓 𝑥 = 1 2 𝑥+1 Graph 𝑔 𝑥 =−𝑓(𝑥) Graph ℎ 𝑥 =𝑓(−𝑥)
Describe the transformations
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Stretches and Shrinks Vertical Shrink ( 0 < a < 1)
Shrinks towards the x-axis Vertical Stretch (a > 1) Stretches away from the x-axis
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Stretch and Shrink
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Example 3 Let 𝑓 𝑥 =𝑥−1 Graph 𝑔 𝑥 = 1 3 𝑓 𝑥 Graph ℎ 𝑥 =3𝑓 𝑥
Describe the transformations.
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Homework Textbook Pages 16-17 3, 6, 9, 11, 16, 17, 18 Class contract
Summer assignment
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