AI calculating Jump

Hello guys,

I want to make an AI that recognizes an obstacle and calculates the jump needed or calculates if the AI character can make the jump.

I am kinda stuck on the idea part so i will need help a bit from more experienced guys.

I have few variables that is telling me how much can that character jump.

So the question is can you and how can you calculate the parabola of a jump, i know a parabola equation is needed i know of this one that i found but if any of you guys that are reading this can help me out on how to make this happen would be great.