The document discusses parent absolute value functions and the effects of changing variables on the graph. It examines what happens when the number inside, outside, and in front of the absolute value is positive or negative. Questions are asked to check understanding, including writing equations for given graphs and determining a translation between two functions.

1. Group 1: Questions to consider...
When number next to x was positive, what happened to the graph of the parent function?
When number next to x was negative, what happened to the graph of the parent function?
y = |x|
y = |x ­ 3|
y = |x + 4|
Prediction... what would y = | x + 7| look like?
what would y = | x ­ 1| look like?
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2. Group 2: Questions to consider...
When number at the end was positive, what happened to the graph of the parent function?
When number at the end was negative, what happened to the graph of the parent function?
y = |x|
y = |x | ­ 3
y = |x| + 4
Prediction...
what would y = | x + 4| ­ 6 look like?
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3. Questions to consider...
When the number in front of the absolute value was positive,
what happened to the graph of the parent function?
When the number in front of the absolute value was negative,
what happened to the graph of the parent function?
Does the absolute value of this number have any effect on the graph?
y = |x|
y = 2 |x |
y = |x| + 4
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y = ­ 2 |x |
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4. SUMMARY:
o Standard Absolute Value Form: y = a | x ‐ h | + k
o (h, k) represents the ______________________ of the graph
o Effects of the different variables on the graph:
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5. Check for Understanding…
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1. y + 5 = 3 |x ­ 2| 2. y = ­ |x + 4| + 5
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3. What translation takes y = | x + 2| ‐ 1 to y = |x| + 2
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6. Check for Understanding: What is the equations of this graph?
y = ­|x­4|+1
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7. Attachments
Example 3.84script