4.1 Transformations

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Last updated 4:49 PM on 9/6/26
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14 Terms

1
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Translation

moves f(x) up/down, right/left

2
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Scale

makes f(x) larger or smaller

3
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Reflection

Flips f(x) across an axis

4
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Vertical shrink

0 < a < 1

5
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Vertical stretch

a > 1

6
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Horizontal shrink

a > 1

7
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Horizontal stretch

0 < a < 1

8
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Vertical stretch/shrink compared to parentheses

a(x)

9
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Horizontal stretch/shrink compared to parentheses

(ax)

10
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First step with quadratics

FACTOR

  • x should have no coefficient

  • x should be positive


11
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Vertical reflection

-f(x)

across x-axis

12
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Horizontal reflection

f(-x)

across y-axis

13
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Vertical shift

(x) +-a

up/down

14
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Horizontal shift

(x +-a)

right/left