transforming functions Flashcards

1
Q

y = f(x) + c

A

shift up by c units

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2
Q

y = f(x) - c

A

shift down by c units

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3
Q

y = f (x-c)

A

shift right by c units

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4
Q

y = f (x+c)

A

shift left by c units

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5
Q

c > 1 ; y = cf (x)

A

vertical stretch by a factor of c

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6
Q

0 < c < 1 ; y = cf (x)

A

vertical compression by a factor of c

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7
Q

c > 1 ; y = f(cx)

A

horizontal compression by a factor of 1/c

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8
Q

0 < c < 1 ; y = f (cx)

A

horizontal stretch by a factor of 1/c

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9
Q

c < 0 ; y = - f(x)

A

reflection over x axis

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10
Q

c < 0 ; y = f(-x)

A

reflection over y axis

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