Question

The image of the point (9, -3)(9,−3) under a translation is (4, 1)(4,1). Find the coordinates of the image of the point (0, 2)(0,2) under the same translation.

Answer 1

Answer
(-5, 6)

Step-by-step explanation

Image = where the point would be after a translation

translation = how a point’s position is moved

to find out how to translate a point, look at how it moved and apply the same movements to the other point
(9, -3) + (-5, 4) = (4, 1)

the translation is -5 along (on the x axis) and 4 up (on the y axis). Now we have to apply this to the other point (0, 2)

0 - 5 = -5
2 + 4 = 6

(0,2) + (-5, 4) = (-5, 6)