even or odd - wallingford-swarthmore school district · 2012. 11. 26. · transformations notebook...

Transformations Notebook 6A BL2.notebook

1

November 26, 2012

Nov 181:46 PM

EVEN OR ODD

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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

Nov 181:29 PM Nov 181:31 PM

Nov 181:53 PM Nov 181:32 PM

Does this translation also work with linear functions?

What do you know!!Point Slope Formulay- k = m (x - h)


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?

Nov 181:44 PM Nov 181:58 PM

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)

Nov 182:01 PM Nov 182:05 PM


4

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

8

6

4

2

2

4

6

8

10

x

y compressionorstretch??

VerticalHorizontal


5

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

Nov 183:14 PM

Nov 183:17 PM Nov 183:17 PM

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

6

x

y

Nov 183:20 PM Nov 183:20 PM


6

November 26, 2012

Nov 183:23 PM Nov 183:25 PM

Nov 183:32 PM Nov 183:46 PM

Nov 183:52 PM Nov 183:37 PM


7

November 26, 2012

Nov 183:37 PM Nov 183:41 PM

Nov 183:45 PM Nov 183:54 PM

HW p 527 (3,14,15,19)p531 (4,5,8)p555 (2a,b)

p 583 (2,6,10) Quiz 6A

Nov 218:52 AM

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even or odd - wallingford-swarthmore school district · 2012. 11. 26. · transformations notebook...

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