Maths - Graphs and Transformations - Translations

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Pre-Calculus

Vectors

12th

Last updated 12:31 PM on 1/2/23
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14 Terms

1
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y = f(x) + a
vertical translation
2
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0

a
vector for a upwards translation
3
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0

\-a
vector for a downward translation
4
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y = f(x + a)
horizontal translation
5
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a

0
vector for a translation to the right
6
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\-a

0
vector for a translation to the left
7
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y = a f(x)
vertical stretch (scale factor a)
8
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the __**y coordinates**__
__vertical stretches__ affect…
9
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y = f(a x)
horizontal stretch (scale factor 1/a)
10
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the __**x coordinates**__
__horizontal stretches__ affect…
11
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y = - f(x)
reflection in x axis
12
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the __**y coordinates**__
__reflections__ in the __x axis__ affect…
13
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y = f(- x)
reflection in y axis
14
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the __**x coordinates**__
__reflections__ in the __y axis__ affect…