What is the least number of showings the theater could have shown after 4 pm last saturday

In order to answer that, we would need the rest of the information that comes with the problem, the part you decided not to tell us, like how long a showing takes, and what time the theater closes.

With just the given information ... the least number could be zero, if the theater operators close up at 4 pm and go home.

you can determine the correct answer by evaluating the function for x=-2.

y = (-2)² -2(-2) +3

y = 4 + 4 + 3 = 11

this tells you the appropriate table is the last one:

x y -2 11 -1 6 0 3 1 2 2 3