Question

1. write the direction of the translation above each rule. hint: use words right, left, up, down.

translation rules
$(x + a)$ $(x - a)$ $(y - b)$ $(y + b)$

1. translation: $(x - 3,y - 1)$ 3. translation: $(x + 3,y + 2)$

Explanation:

Step1: Analyze the \(x\) - coordinate rule

For a point \((x,y)\), if the rule is \((x + a)\) (where \(a>0\)), the \(x\) - coordinate increases. In a coordinate plane, an increase in the \(x\) - coordinate means the point moves to the RIGHT. If the rule is \((x - a)\) (where \(a>0\)), the \(x\) - coordinate decreases. A decrease in the \(x\) - coordinate means the point moves to the LEFT.

Step2: Analyze the \(y\) - coordinate rule

For a point \((x,y)\), if the rule is \((y + b)\) (where \(b>0\)), the \(y\) - coordinate increases. An increase in the \(y\) - coordinate means the point moves UP. If the rule is \((y - b)\) (where \(b>0\)), the \(y\) - coordinate decreases. A decrease in the \(y\) - coordinate means the point moves DOWN.

Answer:

Rule	Direction
\((x - a)\)	LEFT
\((y - b)\)	DOWN
\((y + b)\)	UP