Question

a figure is translated 2 units to the left and 3 units down. what are the new coordinates of the figure?
a) (x - 2, y - 3)
b) (x - 3, y - 2)
c) (x + 2, y + 3)
d) (x + 3, y + 2)
○ a) (x - 2, y - 3)
○ b) (x - 3, y - 2)
○ c) (x + 2, y + 3)
○ d) (x + 3, y + 2)

Explanation:

Step1: Understand horizontal translation

Moving a figure 2 units to the left means subtracting 2 from the x - coordinate of each point. If the original x - coordinate is \(x\), the new x - coordinate is \(x - 2\).

Step2: Understand vertical translation

Moving a figure 3 units down means subtracting 3 from the y - coordinate of each point. If the original y - coordinate is \(y\), the new y - coordinate is \(y - 3\).

Answer:

A. \((x - 2,y - 3)\)