Question

point p is the image of p(5, -5) under a translation by 2 units to the left and 5 units up. what are the coordinates of p? (\boxed{ }, \boxed{ })

Explanation:

Step1: Analyze horizontal translation

Moving 2 units left means subtracting 2 from the x - coordinate. The original x - coordinate of \(P\) is 5, so the new x - coordinate is \(5 - 2=3\).

Step2: Analyze vertical translation

Moving 5 units up means adding 5 to the y - coordinate. The original y - coordinate of \(P\) is \(- 5\), so the new y - coordinate is \(-5 + 5 = 0\).

Answer:

\((3,0)\)