Question

1. a point a (x, y) is translated 6 units to the right and 4 units down. what is the mapping to the new point a? (x + 6, y - 4) (x - 4, y + 6) (x + 4, y - 6) (x + 6, y + 4)

Explanation:

Step1: Understand horizontal translation

Moving right on the x - axis adds to the x - coordinate. Given 6 units right, new x - coordinate is $x + 6$.

Step2: Understand vertical translation

Moving down on the y - axis subtracts from the y - coordinate. Given 4 units down, new y - coordinate is $y-4$.

Answer:

$(x + 6,y - 4)$