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MONDAY 9.26.11
* HW Questions (FRIDAY'S material will not be retaught)... you can review the lesson:
* Online on my website* View online examples* Come in to Algebra 2 Study Group (Tuesday after school or Friday Morning.)
* Finish up Chapter 2: Section 2.9 Transformations of the AbsoluteValue Function
**Quiz TOMORROW on everything to date ("mock test")
**Wednesday & Thursday will involve corrections and review for the Chapter test on FRIDAY :)
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Absolute Value Graph
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4 units down
Check It Out! Example 1a
Let g(x) be the indicated transformation of f(x) = |x|. Write the rule for g(x) and graph the function.
3 units UP
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REMEMBER!!!
VERTICAL SHIFTS
g(x) = f(x) + k
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Perform the transformation on f(x) = |x|. Then graph the transformed function g(x).
2 units right
4 units LEFT
Check It Out! Example 1b
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REMEMBER!!!
HORIZONTAL SHIFTS
g(x) = f(x h)
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Check It Out! Example 2
Translate f(x) = |x| so that the vertex is at (4, –2). Then graph.
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Ex. Graph g(x) = IxI
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Reflection across xaxis: g(x) = –f(x)Reflection across yaxis: g(x) = f(–x)
Remember!
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Perform the transformation. Then Reflect the graph. f(x) = –|x – 4| + 3 across the yaxis.
Check It Out! Example 3a
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VERTICAL STRETCH/COMPRESSION:
g(x) = a f(x)
HORIZONTAL STRETCH/COMPRESSION:
g(x) = f(1/b x)
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Compress the graph of f(x) = |x| + 1 vertically by a factor of .
Check It Out! Example 3b
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Stretch the graph. f(x) = |4x| – 3 horizontally by a factor of 2.
Check It Out! Example 3c
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SUMMARY:
g (x) = a I(x h)I + k
PARENT FUNCTION:
f(x) = x
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Homework:pg. 161 162 (923 odd, 27, 29)
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