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 )?
( (square,square) )

Explanation:

Step1: Calculate the new x - coordinate

For a translation 2 units to the left, subtract 2 from the x - coordinate.
The original x - coordinate is \(x = 5\). The new x - coordinate is \(x'=5 - 2\).

Step2: Calculate the new y - coordinate

For a translation 5 units up, add 5 to the y - coordinate.
The original y - coordinate is \(y=-5\). The new y - coordinate is \(y'=-5 + 5\).

Answer:

\((3,0)\)