The image point of A after a translation right 5 units and down 3 units is the point B ( − 3 , − 11 ) B(−3,−11). Determine the coordinates of the pre-image point A A.

Answer 1

B(-3,-11) before going down 3 used to be (-3,-8), 3 higher

then before the translation 5 right, it used to be (-8, -8)

Point A is (-8,-8)

it helps to plot the points

shift A to the right by 5, that adds 5 to the x coorindate

transformed to (-3,-8)

shift down by 3 reduces the y coordinate by 3

becoming B (-3,-11)