Question

1. if point a is translated 4 units to the right and 2 units down, what is the new position?

(x - 4, y - 2)
(x - 2, y - 4)
(x + 4, y - 2)
(x + 4, y + 2)

Explanation:

Step1: Analyze horizontal translation

When a point is translated to the right, we add to the \(x\) - coordinate. Translating 4 units to the right means the new \(x\) - coordinate is \(x + 4\).

Step2: Analyze vertical translation

When a point is translated down, we subtract from the \(y\) - coordinate. Translating 2 units down means the new \(y\) - coordinate is \(y-2\).

Answer:

\((x + 4,y - 2)\) (the third option)