4.if the rule (x, y) → (x + 3, y – 3) is applied to the original triangle, give the coordinates of and draw the image. show your work for calculating the coordinates of the resulting image.

What you need to do in here is 
Add 3 to each x-coordinate to get the new x-coordinate 
Subtract 3 from each y-coordinate to get the new y-coordinate. 
Let me give you an eample: the point is (4 , 2) 
The new point is then (7 , -1). We know this because:
4 + 3 = 7 and 2 - 3 = -1
I hope this can help you follow through