Transformations/Coordinate Rules- Math 2 Honors

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12 Terms

1
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Over the x-axis

(x, y) →

(x, -y)

2
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Over the y-axis

(x, y) →

(-x, y)

3
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Over the line y=x

(x, y) →

(y, x)

4
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Through the origin

(x, y) →

(−x, −y)

5
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Through the line y= -x

(−y, −x)

6
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Translations:

(x, y) →

(x±h, y±k)

7
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Which way do they move?

h moves…

right or left

8
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Which way do they move?

k moves…

up or down

9
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Dilations:

(x, y) →

(cx, cy)

c = scale factor

10
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Counterclockwise - 90

Clockwise?

Rule?

Clockwise: 270

Rule: (-y, x)

11
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Counterclockwise - 180

Clockwise?

Rule?

Clockwise: 180

Rule": (-x, -y)

12
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Counterclockwise - 270

Clockwise?

Rule?

Clockwise: 90

Rule: (y, -x)