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Transformations Notebook 6A BL2.notebook
1
November 26, 2012
Nov 181:46 PM
EVEN OR ODD
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Transformations Notebook 6A BL2.notebook
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November 26, 2012
Nov 181:03 PM
What are the kinds of transformations?1. Translation: Also known as a slide
Graph keeps the same shape and size but moves to anotherposition
Question: What causes a translation to f(x)?Move up C unitsMove down C unitsMove right C unitsMoves left C units
Nov 181:26 PM
P 518 # 2,4,6,9,12
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Does this translation also work with linear functions?
What do you know!!Point Slope Formulay- k = m (x - h)
Transformations Notebook 6A BL2.notebook
3
November 26, 2012
Nov 181:44 PM
What kinds of transformations?1. Translation: Also known as a slide
Graph keeps the same shape and size but moves to another position
Question: What causes a translation to f(x)?Move up C unitsMove down C unitsMove right C unitsMoves left C units
Nov 181:37 PM
What kinds of transformations?1 .Translation: Also known as a slide
Graph keeps the same shape and size but moves to another position
2. Reflection: Also know as flipping over a lineA reflection produces a mirror image of a drawing. A line acts as a mirror.
3. Rotations: Produces an identical copy of a drawing that turned relative to some center of rotations.
Questions to answer a. What happens to f(x) when it is reflected over the x axis? b. What happens to f(x) when it is reflected over the y axis? c. Both axis? Did I rotate?
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HW p 518 (3,7)p 531 (1-3,6,7)p 528 (5-7,15,19)p 582 (1,11)p 580 (1, 2c)
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Transformations Notebook 6A BL2.notebook
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November 26, 2012
Nov 182:06 PM Nov 182:07 PM
Nov 182:11 PM Nov 182:14 PM
What kinds of transformations?1. Translation: Also known as a slide
Graph keeps the same shape and size but moves to another position.
2. Reflection: Also know as flipping over a lineA reflection produces a mirror image of a drawing. A line acts as a mirror.
3. Rotations: Produces an identical copy of a drawing that turned relative to some center of rotations.
4. Dialation: produces a mathematically similar copy of a drawing that can be larger or smaller than the original
Nov 182:32 PM
What does it mean?How does horizontal scaling by a factor of A affect the graph?What happens when A>1What happens when 0 < A < 1Can you scale graphs vertically?
Nov 182:45 PM
WARM UP...Consider f (x) = x3 and g(x) = 2x3. Compare and contrast the graphs of f and g.
x 1 2 3 4 5 6 7
f(x) 1 8 27 64 125 216 343
g(x) 2 16 54 128 250 432 686
10 8 6 4 2 0 2 4 6 8 10
10
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4
2
2
4
6
8
10
x
y compressionorstretch??
VerticalHorizontal
Transformations Notebook 6A BL2.notebook
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November 26, 2012
Nov 182:58 PM
Consider f (x) = x3 and h(x) = (2x)3. Create a table for f and h. BEFORE graphing...
x 1 2 3 4 5 6 7
f(x) 1 8 27 64 125 216 343
g(x) 8 64 216
8 7 6 5 4 3 2 1 0 1 2 3 4 5 6 7 8
87654321
12345678
x
y
compressionorstretch??
VerticalHorizontal
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6 5 4 3 2 1 0 1 2 3 4 5 6
6
5
4
3
2
1
1
2
3
4
5
6
x
y
6 5 4 3 2 1 0 1 2 3 4 5 6
6
5
4
3
2
1
1
2
3
4
5
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x
y
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Transformations Notebook 6A BL2.notebook
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November 26, 2012
Nov 183:23 PM Nov 183:25 PM
Nov 183:32 PM Nov 183:46 PM
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Transformations Notebook 6A BL2.notebook
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November 26, 2012
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HW p 527 (3,14,15,19)p531 (4,5,8)p555 (2a,b)
p 583 (2,6,10) Quiz 6A
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