2.6a Function Transformations

I’ve seen enough horror movies to know any weirdo wearing a mask is never friendly.

-Lizabeth

Transformations

f (x)x 2

f (x)x 2 2

f (x) dVertical Shift:

Transformations

f (x)(x 3)2

f (x)(x 3)2 1

f (x c)Horizontal Shift:

Transformations

f (x) x

f (x) x

f (x)Reflect across x-axis:

Transformations

f (x) x

f (x) x 2 4

f ( x)Reflect across y-axis:

1)

2)

3)

Transformations

f (x) x

f (x)2 x

a f (x) Scale vertically by a:

Transformations

f (x) 3 x 2 2

f (x) 12x

f (bx)Scale horizontally by :

1 b

1)

2)

3)

4)

Transformations

af b(x c) d

Vertical scale by aIf negative, reflects across x-axis

Horizontal scale by If negative, reflects across y-axis

1 b Horizontal shift

Vertical shift

Transformations

f (x) (x 1)3 2

1)

2)

3)

Transformations

f (x) 1( x)

2

1)

2)

Transformations

f (x)(x 2)3

f (x) x 2 3

f (x) x 1

f (x) 2 x 3 2

Transformations

Work with your partner to complete the

Transformation Worksheet.

2.6 Function Transformations

I’ve seen enough horror movies to know any weirdo wearing a mask is never friendly.

-Lizabeth

Homework: p.128 #53 – 61 odd #67 - 73 odd