Question

complete the rule: 6 units to the left, 3 units up
x+3, y-6
x+6, y-3
x-3, y+6
x-6, y+3

Explanation:

Step1: Analyze horizontal movement

Moving to the left in a coordinate - plane means subtracting from the x - coordinate. Here, moving 6 units to the left implies subtracting 6 from x, so the x - part of the rule is \(x - 6\).

Step2: Analyze vertical movement

Moving up in a coordinate - plane means adding to the y - coordinate. Here, moving 3 units up implies adding 3 to y, so the y - part of the rule is \(y + 3\).

Answer:

\(x-6,y + 3\)