Question

Please help! Thanks so much! :)

Answer 1

First, let's change the coordinates using the translation $(x,y) \rightarrow (x+7, y)$

$A:(-2,-5)$
$(-2,-5) \rightarrow (-2+7,-5)$
$=(5,-5)$

Now, let's reflect this across the horizontal line y=2.
The y-term in the point is -5. That is 7 units down from y=2. Now, add 7 units to 2. You get 9. Change the y-term to this number.

$(x,y) \rightarrow (x,9)$
$(5,5) \rightarrow (5,9)$

(5, 9) is your answer. Hope this helps! :)