ActionScript 3.0 :: Calculating Parabolas For Projectiles?

Jul 8, 2011

I am wracking my brain over how to figure this out and it is REALLY frustrating me. If we have a cannon on a castle wall that shoots a cannonball from (0,0) toward an enemy that sits below on the ground off to the right at (50,-10) and we want the cannonball to always reach 20 units in the air, how do I make a line function where I can plug x in (which will be 0-50) to calculate y out?

y = -a(x - h)^2 + k

is the equation for this where (h,k) is the vertex. This means k will always be 20. I know to keep 'a' negative because that will give an upside down U parabola. But how do I figure out what 'h' and 'a' are? Systems of equations? How on EARTH would I write a function to do that in Actionscript?

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