Warm up1. Rotate P(-4, -4) 270 CW

2. Rotate Q(-1, -3) 270 CCW 3. If a function is odd and one

point on it is R(3, 5). Name another point.

4. If a function is odd and one point on it is S(-4, 12). Name another point.

3, 5

4, 12

P' 4, 4

Q ' 3,1

Review Homework

Compositions

Compositions

• Combining a reflection with a rotation.

• Pay attention to the order!!

1. Finding the Image of a Composition

Perform the following composition on

C(2, 0), D(3, 3)

: on the x- axis

: 270 counterclockwise about the originreflection

rotationC’(2, 0), D’(3, –3)

C’’(0, –2), D’’(–3, –3)

CD

2. Finding the Image of a Composition

Perform the following composition on J(0,2).: 270 clockwise about the origin

:over the line y=x

rotation

reflection

J

J’(-2, 0)

J

J’

J’’(0, –2)J

J’

J”

3. Finding the Image of a CompositionPerform the following composition on KPSW.

: across x 1

: 180 about the origin

reflection

rotation

K’(3,3) P’(5,1) S’(4,-1) W’(2,1)

K’’(-3, -3)

P”(-5,-1)

S”(-4,1)

W”(-2,-1)

K( 1,3) P( 3,1) S( 2, 1) W(0,1)

K’

P’

S’

W’

K’

P’

S’

W’

K”

P”

S”

W”

Class Work

Compositions of Reflections & Rotations

Practice WS

Home Work

Complete the Class Work Sheet!