Answer to Question #93909 in Analytic Geometry for kera sadler

Question

Which coordinate notation represent the translation of P(-2, 5) to P’ (9, -12)?

Answer 1

Solution. A Translation Vector is a vector that gives the length and direction of a particular translation. Vectors in the Cartesian plane can be written (x,y) which means a translation of x units horizontally and y units vertically. Find the coordinates of the translation vector.

$$(9-(-2),-12-5)=(11,-17)$$

On the other hand, we can write the coordinate transformation equations

$$x'=x+11, y'=y-17$$

Answer.

$$x'=x+11, y'=y-17$$