Originally Posted by **rob555** https://ibb.co/n57i8y
what is the formula to specify the correct v0y and v0x to reach the red point and x max? |

There are an infinite number of different ways to cover the same parabolic path. If we take the "horizontal speed" to be constant, then we can write $\displaystyle x= v_{0x}t$ and $\displaystyle y= -(g/2)t^2+ v_{0y}t$. But I see two different "red points". y will be 0 at both t= 0 and $\displaystyle t= \frac{2v_{0y}}{g}$. At that point x is $\displaystyle x_{max}= \frac{2v_{0x}v_{0y}}{g}s$