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? ( , )

Explanation:

Step1: Calculate new x - coordinate

For a translation 2 units to the left, subtract 2 from the x - coordinate of the original point. Given the original point $P(5,- 5)$, the new x - coordinate is $5 - 2=3$.

Step2: Calculate new y - coordinate

For a translation 5 units up, add 5 to the y - coordinate of the original point. The original y - coordinate is - 5, so the new y - coordinate is $-5 + 5=0$.

Answer:

$(3,0)$