Function Transformations Flashcards

1
Q

g(x) = f(x) + a

A

shift up by ‘a’ units

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2
Q

g(x) = f(x) - a

A

shift down by ‘a’ units

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3
Q

g(x) = f(x+a)

A

shift left by ‘a’ units

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4
Q

g(x) = f(x-a)

A

shift right by ‘a’ units

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5
Q

y = cf(x) , when c > 1

A

vertical stretch by factor of ‘c’

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6
Q

y = f(cx) , when 0

A

horizontal stretch by factor of ‘c’

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7
Q

y = cf(x) , when 0

A

vertical compression by factor of ‘c’

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8
Q

y = f(cx) , when c > 1

A

horizontal compression by factor of ‘c’

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9
Q

g(x) = -f(x)

A

reflect around x-axis

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10
Q

g(x) = f(-x)

A

reflect around y-axis

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