Question

The image of the point (-6, -2) under a translation is (-4,2). Find the coordinates of the image of the point (-3, 4) under the same translation.

Answer 1

ANSWER

(-1, 8)

EXPLANATION

First we have to find the rule for this translation.

The image of the x-coordinate of the given point is 2 untis more than the point, so the rule for the horizontal translation is to add 2.

The image of the y-coordinate of the given point is 4 units more than the point, so the rule for the vertical translation is to add 4:

$(x,y)\rightarrow(x+2,y+4)$

Therefore, the image of point (-3, 4) under the same translation is:

$(-3,4)\rightarrow(-3+2,4+4)=(-1,8)$