Question

write the rule for this translation: slide 2 right and 3 up. (x, y)---->(x + 2, y + 3) (x, y)---->(x + 3, y + 2) (x, y)---->(x - 2, y + 3)

Explanation:

Step1: Understand translation rules

In a coordinate - plane, moving right affects the x - coordinate and moving up affects the y - coordinate. Moving right by a positive number of units adds to the x - coordinate, and moving up by a positive number of units adds to the y - coordinate.

Step2: Apply the given translation

We are given a slide 2 right and 3 up. For a point with coordinates \((x,y)\), moving 2 units to the right means we add 2 to the x - coordinate (\(x\) becomes \(x + 2\)), and moving 3 units up means we add 3 to the y - coordinate (\(y\) becomes \(y+3\)). So the translation rule is \((x,y)\to(x + 2,y + 3)\).

Answer:

\((x,y)\to(x + 2,y + 3)\)