The image of the point ( − 9 , − 3 ) (−9,−3) under a translation is ( − 12 , − 8 ) (−12,−8). Find the coordinates of the image of the point ( − 4 , 6 ) (−4,6) under the same translation.

Answer 1

(-9,-3) to (-12,-8)

transformation is shift left by 3, down by 5

similar transformation of (-4,6) is the image (-7, 1)

it helps to plot the points

or

it could be a reflection across a line perpendicular midway on the line segment connecting (-9,-3) and (-12,-8)

then reflect (-4,6) about that same perpendicular line, y =-3x/5 - 11.8 to get (-17 20/34, - 18, 31/51)

whoever gave you this problem probably wants the 1st answer though,

(-7,1), a horizontal and vertical shift, rather than a reflection about a line