Question

if the pre image of a figure is located at (4,2) (-3,-3)(0,8) and it is reflected in the y-axis followed by a translation of 3 units left and 6 units down where is the new image locate give vertex coordinates

Answer 1

reflect: (x,y) -> (-x,y)
left: (x,y) -> (x-3,y)
down: (x,y) -> (x,y-6)

So, for all three,
(x,y) -> (-x,y) -> (-x-3,y) -> (-x-3,y-6)

(4,2) -> (-7,-4)
and so on

Answer 2

If the pre-image is located at (0,4), where would the image be located if you followed the translate (x+2, y-4)?