Question

1. what happens to the coordinates of a point (x,y) when it is translated 2 units to the right and 5 units up? a. (x + 2,y + 5) b. (x - 2,y + 5) c. (x + 2,y - 5) d. (x - 2,y - 5)

Explanation:

Step1: Understand right - left translation

Moving a point to the right on the x - axis increases its x - coordinate. Moving 2 units to the right means adding 2 to the x - coordinate of the point $(x,y)$. So the new x - coordinate is $x + 2$.

Step2: Understand up - down translation

Moving a point up on the y - axis increases its y - coordinate. Moving 5 units up means adding 5 to the y - coordinate of the point $(x,y)$. So the new y - coordinate is $y + 5$.

Answer:

A. $(x + 2,y + 5)$