Question

1. point l(-3,-6) is reflected over the y-axis to create l.

a. write a rule for the transformation.
b. give the location of l.

Explanation:

Step1: Recall y-axis reflection rule

For any point $(x,y)$, reflecting over the y-axis negates the x-coordinate while keeping the y-coordinate unchanged. The rule is $(x,y)\to(-x,y)$.

Step2: Apply rule to point L

Substitute $x=-3$, $y=-6$ into the rule: $(-3,-6)\to(-(-3),-6)=(3,-6)$.

Answer:

a. $(x,y)\to(-x,y)$
b. $(3,-6)$