## Find the image of O (0,0) after two reflections, first across L1 and then across L2: L1: y = 2 L2: x = -3

Question

Lorem ipsum dolor sit amet, consectetur adipiscing elit.Morbi adipiscing gravdio, sit amet suscipit risus ultrices eu.Fusce viverra neque at purus laoreet consequa.Vivamus vulputate posuere nisl quis consequat.

## Answers ( No )

Answer:the answer is (-6, -4) (i think)

Step-by-step explanation:the answer for L1 is (0, -4) and the answer for L2 is (-6, 0)

those two put together is (-6, -4)

hope this helps 🙂

Some standard rules:

reflection about horizontal line y=k

reflection about vertical line x=h

So for O(0,0), h=-3, k=2

First reflection about L1: y=2

(x,y)->(x, -y+2(k)) =>

O(0,0)->O'(0,-0+2(2) = O'(0,4)

Second reflection about L2: x=-3

(x,y)->(-x+2h,y) =>

O'(0,4)->O”(0+2(-3),4) = O”(-6,4)

Answer: after both reflections, the position of image is

O”(-6,4)