take 1/2 of -5, and square it. Add that to both sides.

y+6.25= x^2 -ax + 6.25 +3
y+3.25= (x-2.5)^2

Now, looking at it, wouldn't it by symmetrical abouut x=2.5?

identify the axis of symmetry, create a suitable table of values y=x^2-5x+3