First let's find the coordinates of each point in the figure.
point N: (1, 0)
point F: (0, -4)
point C: (3, -3)
point Y: (3, -5)
Now, to translate all the points 3 units left and 2 units up, we need to add -3 to their x-coordinate and add 2 to their y-coordinate:
point N': (1-3, 0+2) = (-2, 2)
point F': (0-3, -4+2) = (-3, -2)
point C': (3-3, -3+2) = (0, -1)
point Y': (3-3, -5+2) = (0, -3)
So the new coordinates of the figure's points are:
(-2, 2), (-3, -2), (0, -1) and (0, -3).