Question

1. a figure is translated 8 units to the right and 3 units down. what is the rule for this translation?

$(x,y)\to(x + 8, y + 3)$
$(x,y)\to(x - 8, y + 3)$
$(x,y)\to(x - 8, y - 3)$
$(x,y)\to(x + 8, y - 3)$

Explanation:

Step1: Analyze horizontal translation

Moving \(8\) units to the right means adding \(8\) to the \(x\) - coordinate. So \(x\to x + 8\).

Step2: Analyze vertical translation

Moving \(3\) units down means subtracting \(3\) from the \(y\) - coordinate. So \(y\to y-3\).

Answer:

\((x,y)\to(x + 8,y - 3)\) (the fourth option)