tiger woods standing at +3 on the x-axis.the hole is at -5 on the x-axis.what is the quadratic equation that would get him a hole in one

I assume you mean the function representing the height of the ball, such that

f(x) is zero at x=3 and x = -5

How about

f(x) = a(x-3)(x+5) = x^2+2x-15

Without further information, we cannot determine the scale factor. There are many possible parabolas with those two roots. I assume you're not trying to determine at what angle the ball would have to be hit in the real world to determine the proper value of a.

For simplicity, let's take a=1.