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!