Question

Point P(−5, 2) is translated using the rule (x+3, y−1). What is the x-coordinate of P' ?

Answer 1

`P'=(-2,1)`

Explanation:

A translation moves a coordinate point in the x-y plane.

A translation `((x),(y))`

will move the point horizontally right/left , depending on the `color(red)"sign"` of x. Right if positive and left if negative.

Similarly the point will be moved vertically up/down , depending on the `color(red)"sign"` of y. Up if positive and down if negative.

Here the translation is `((x+3),(y-1))`

`rArrP(-5,2)toP'(-5+3,2-1)toP'(-2,1)`