# Algebra II 2-6 Day 1 Exploration

```Algebra II
2-6 Day 1 Exploration
Name: ___________________________
Date: _________
The four functions in each group are related. Explain how they are related.
Group 1:
y = |x|
y = |x| + 2
y = |x| + 4
y = |x| - 2
How are they related?
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Group 2:
y = |x|
y = |x + 2|
y = |x + 4|
y = |x – 2|
How are they related?
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Group 3:
y = |x|
y = 2|x|
y = 4|x|
y = 1/2|x|
How are they related?
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Group 4:
y = |x|
y = -|x|
y = 2|x|
y = -2|x|
How are they related?
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
Define Parent Function:
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
In each of the above 4 groups, which graph is the parent function?
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
Define Translation:
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
If y = a |x - h| + k is the translation of an absolute function,
a. What does a do to the graph?
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b. What does h do to the graph?
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c. What does k do to the graph?
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HOMEWORK: p. 97 #1-14, 29-34, 42-43
```