Translations and Transformations Flashcards

1
Q

a*f(x) when a>1

A

Vertical Stretch

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2
Q

a*f(x) when 0<a<1

A

Vertical Compression

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3
Q

What do vertical stretches/compressions say to do?

A

Multiply all y values by a

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4
Q

f(b*x) when b>1

A

Horizontal compression

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5
Q

f(b*x) when 0<b<1

A

horizontal stretch

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6
Q

what do horizontal stretches/compressions say to do?

A

Multiply all x values by 1/b (reciprical)

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7
Q

-f(x)

A

vertical reflection

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8
Q

f(-x)

A

horizontal reflection

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9
Q

f(x)+d

A

vertical shift up d units

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10
Q

f(x)-d

A

vertical shift down d units

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11
Q

f(x+c)

A

horizontal shift left <- c units

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12
Q

f(x-c)

A

horizontal shift right -> c units

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13
Q

which translations occur when the function is on the inside

A

horizontal

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14
Q

which translations occur when the function is on the outside

A

vertical

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15
Q

what trans comes first?

A

horizantal shifts

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16
Q

what trans comes 2

A

horizontal st/c

17
Q

what trans comes 3

A

horizontal reflection

18
Q

what trans comes 4

A

vertical reflection

19
Q

what trans comes 5

A

vertical stretch/compression

20
Q

what trans comes 6

A

vertical shift

21
Q

what is the order of trans

A

horizontal shift
horizontal s/c
horizontal reflection
vertical reflection
vertical st/c
vertical shift