Question

identify the new coordinates of point p after a translation of 3 units down and 4 units right.
options: (1, -2), (0, -3), (1, 4), (-3, 1)

Explanation:

Step1: Find original coordinates of P

From the graph, point P has coordinates \((-3, 1)\) (since it's 3 units left on x - axis and 1 unit up on y - axis).

Step2: Apply translation rules

• For horizontal (x - coordinate) translation: Moving 4 units right means we add 4 to the x - coordinate. So, new \(x=-3 + 4=1\).
• For vertical (y - coordinate) translation: Moving 3 units down means we subtract 3 from the y - coordinate. So, new \(y = 1-3=-2\).

Answer:

\((1, - 2)\)