Transformations

?
y = f(x + a)
x coordinate minus a
1 of 14
y = f(x) + a
y coordinate add a
2 of 14
y = f(ax)
x coordinate multiplied by (1/a)
3 of 14
y = af(x)
y coordinate multiplied by a
4 of 14
y = f(-x)
x coordinate becomes -x
5 of 14
y = -f(x)
y coordinate becomes -y
6 of 14
|f(x)|
Graph always above x axis (y>0)
7 of 14
f(|x|)
Sketch graph on right side of y axis (x>0) and reflect in y axis
8 of 14
Translation up or down y axis
y = f(x) + a
9 of 14
Translation right or left x axis
y = f(x + a)
10 of 14
Vertical stretch
y = af(x)
11 of 14
Horizontal stretch
y = f(ax)
12 of 14
Reflection in y axis
y = f(-x)
13 of 14
Reflection in x axis
y = -f(x)
14 of 14

Other cards in this set

Card 2

Front

y = f(x) + a

Back

y coordinate add a

Card 3

Front

y = f(ax)

Back

Preview of the front of card 3

Card 4

Front

y = af(x)

Back

Preview of the front of card 4

Card 5

Front

y = f(-x)

Back

Preview of the front of card 5
View more cards

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