Question

The question is: find the image of o(-2 -1) after two reflections, first across the line y=-5, then across the line x=1, I'm confused because I reflected it across the y access and got -7,-6 then I reflected it x=1 and Got -6,-5, But that is not in the answers. I know I did something wrong could you help me by telling me which step I did wrong Please, and Thank you

Answer 1

It helps to make a sketch in this case, I assume you did that

(-2,-1) ---reflect in y=-5 ---> (-2,-9)
notice the midpoint of these points lies on y = -5

(-2,-9) ---reflect in x = 1)---> (4,-9)
again, notice the midpoint of these two points
lies on the line x = 1

Answer 2

Ooh, Thank you so much I realized I was subtracting 5 from both points not just Y