Question

a point with coordinates (0,5) is translated 2 units to the left and 3 units up. what are its new coordinates? (2,2) (-2,8) (x,y) (2,8)

Explanation:

Step1: Analyze x - coordinate change

Moving 2 units to the left means subtracting 2 from the x - coordinate. The original x - coordinate is 0, so the new x - coordinate is \(0 - 2=-2\).

Step2: Analyze y - coordinate change

Moving 3 units up means adding 3 to the y - coordinate. The original y - coordinate is 5, so the new y - coordinate is \(5 + 3 = 8\).

Answer:

(-2,8)