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Precalc
Flashcards for Transformations
10
Mathematics
Undergraduate 1
11/08/2009
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Term
Vertical translation up by c-units
 Definition
y=f(x)+c
Term
Vertical translation down by c-units
 Definition
y=f(x)-c
Term
Horizontal translation to the left by c-units
 Definition
y=f(x+c)
Term
Horizontal translation to the right by c-units
 Definition
y=f(x-c)
Term
Vertical reflection across the x-axis
 Definition
y=-f(x)
Term
Horizontal reflection across the y-axis
 Definition
y=f(-x)
Term
Shrinking vertically by a factor of c towards the x-axis
 Definition

0<c<1

y=c(f(x))
Term
Stretching horizonally by a factor of 1/c away from the y-axis
 Definition

0<c<1

y=f(cx)
Term
Stretching vertically by a factor of c away from the y-axis
 Definition

c>1

y=c(f(x))
Term
Shrinking horizontally by a factor of 1/c towards the x-axis
 Definition

c>1

y=f(cx)
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