Question

a figure is translated using the rule (x, y) → (x − 3, y + 6). which describes how the figure is moved? × left 3 units and down 6 units ○ right 3 units and down 6 units ○ left 6 units and down 3 units ○ left 3 units and up 6 units

Explanation:

Step1: Analyze x - coordinate change

In a translation rule \((x,y)\to(x - 3,y + 6)\), for the \(x\)-coordinate, subtracting a positive number means moving left. Since we subtract 3 from \(x\), the figure moves left 3 units.

Step2: Analyze y - coordinate change

For the \(y\)-coordinate, adding a positive number means moving up. Since we add 6 to \(y\), the figure moves up 6 units.

Answer:

left 3 units and up 6 units (the last option: left 3 units and up 6 units)