Question

1. graph the images after the composition of transformations.

a) reflection in the y - axis
b) rotation 90° counterclockwise about the origin
pre - i k(-3,1) n(0, - 1) l(-3, - 4)
reflection k( , ) n( , ) l( , )
rotation k( , ) n( , ) l( , )

Explanation:

Step1: Apply reflection rule

The rule for reflection in the $y$-axis is $(x,y)\to(-x,y)$.
For point $K(-3,1)$: $K'=(3,1)$
For point $N(0, - 1)$: $N'=(0,-1)$
For point $L(-3,-4)$: $L'=(3,-4)$

Step2: Apply rotation rule

The rule for a $90^{\circ}$ counter - clockwise rotation about the origin is $(x,y)\to(-y,x)$.
For point $K'(3,1)$: $K''=(-1,3)$
For point $N'(0,-1)$: $N''=(1,0)$
For point $L'(3,-4)$: $L''=(4,3)$

Answer:

	$K$	$N$	$L$
Reflection	$(3,1)$	$(0,-1)$	$(3,-4)$
Rotation	$(-1,3)$	$(1,0)$	$(4,3)$