What is the graph of the absolute value function
Think | Write | ||||||||||||
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Make a table of values and graph the function. |
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Use the location of the vertex to see how the graph has been translated. The parent function was not multiplied by a number, so the graph wasn't stretched, compressed, or reflected. | Since the vertex is at
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The transformations you studied in Lesson 2-6 also apply to absolute value functions.
Vertical Translation | Horizontal Translation |
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Translation up k units,
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Translation right h units,
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y = |x| + k |
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Translation down k units,
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Translation left h units,
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y = |x + h| |
Vertical Stretch and Compression | Reflection |
Vertical stretch,
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In the x-axis |
y = a|x| |
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Vertical compression,
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In the y-axis |
y = a|x| |
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