Transformations Flashcards

0
Q

What does the translation f(x) + a do?

A

A vertical translation of +a

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1
Q

What does the translation f(x + a) do?

A

A horizontal translation of -a

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2
Q

What does the translation f(ax) do?

A

A horizontal stretch of scale factor 1/a

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3
Q

What does the translation af(x)?

A

A vertical stretch of scale factor a

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4
Q

How would you draw the graph of:

y=f(|x|)

A

Sketch for values of x>0 then reflect in the y axis

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5
Q

How would you draw the graph of:

y = |f(x)|

A

Sketch for y=f(x) then reflect the parts that dip below the x axis

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6
Q

What does the translation f^-1(x) do?

A

Reflect graph in line y=x

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