Question

select the rule that models the translation shown. (x - 1, y - 3) (x + 1, y + 3) (x - 1, y + 3) (x + 1, y - 3)

Explanation:

Step1: Analyze horizontal translation

In a translation rule \((x,y)\to(x + a,y + b)\), \(a\) represents horizontal shift. If \(a>0\), shift right; if \(a < 0\), shift left.
Looking at the graph, the figure shifts \(1\) unit to the right. So \(a=+ 1\).

Step2: Analyze vertical translation

\(b\) represents vertical shift. If \(b>0\), shift up; if \(b < 0\), shift down.
The figure shifts \(3\) units down. So \(b=-3\).

Answer:

\((x + 1,y-3)\) (the red - colored option)