Question

describe the given translation: (x, y)----> (x + 2, y - 3)

Explanation:

Step1: Analyze x - coordinate change

The x - coordinate of a point changes from \(x\) to \(x + 2\). This means a right - ward shift. In a coordinate plane, adding a positive number to the \(x\) - coordinate moves a point to the right.

Step2: Analyze y - coordinate change

The y - coordinate of a point changes from \(y\) to \(y-3\). This means a downward shift. Subtracting a positive number from the \(y\) - coordinate moves a point downwards.

Answer:

The translation \((x,y)\to(x + 2,y - 3)\) is a translation 2 units to the right and 3 units down.