Question

1. a point a (x, y) is translated 10 units to the right and 3 units down. what is the mapping to the new point a? (x+10,y - 3) (x - 3,y+10) (x - 3,y - 10) (x+10,y+3)

Explanation:

Step1: Understand horizontal translation

Moving a point to the right on the x - axis increases its x - coordinate. If a point $(x,y)$ is moved 10 units to the right, the new x - coordinate is $x + 10$.

Step2: Understand vertical translation

Moving a point down on the y - axis decreases its y - coordinate. If a point is moved 3 units down, the new y - coordinate is $y-3$.

Answer:

$(x + 10,y - 3)$