1.2 - Transformations of Linear and Absolute Value Functions · 2019. 8. 27. · Writing...
Transcript of 1.2 - Transformations of Linear and Absolute Value Functions · 2019. 8. 27. · Writing...
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1.2 Transformations of Linear and Absolute Value Functions
Part 1 Translations and Reflections
1.2 Transformations of Linear and Absolute Value Functions
Goals: • Write functions representing translations and reflections
• Write functions representing stretches and shrinks
• Perform combinations of transformations
Mental Floss: Mon, Aug 26th
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1.2 Transformations of Linear and Absolute Value Functions
Part 1 Translations and Reflections
Input Horizontal Changes
Output Vertical Changes
"Changes"• Translations• Reflections• Stretches/Shrinks
Solution
Solution:
ReflectionsReflections in the xaxis Reflections in the yaxis
To reflect a function over the xaxis (up/down), you multiply the outputs by 1.
To reflect a function over the yaxis (left/right), you multiply the inputs by 1.
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1.2 Transformations of Linear and Absolute Value Functions
Part 1 Translations and Reflections
Solution: Solution:
Extra Examples: Rewrite the function after each transformation.
a.) Translated 7 units up
b.) Translated 4 units left
c.) Reflected over the yaxis
d.) Reflected over the xaxis
1.2 p.16• #4,6,8,1114