Translations on the coordinate plane
Find the image of a point after a translation, or describe the translation that maps one point onto another, anywhere on the coordinate plane. Unlimited questions, five difficulty levels, and a full worked solution every time — free.
Try one
Point A is at (-2, 1). It is translated 5 right and 1 up. What are the coordinates of the image point, A'?
Answer: (3,2)
See one solved, step by step
Point A is at (-10, -6) and after a translation lands at A' = (-4, -5). Describe the translation as a coordinate shift (dx, dy).
📘 Worked solution
1dx: −4 - −10 = 6The change in the x-coordinate is the ending x minus the starting x.
2dy: −5 - −6 = 1The change in the y-coordinate is the ending y minus the starting y.
3Translation: (6, 1)This tells you the point moved 6 units right and 1 units up.
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