Parabola with fixed max height and velocity

[Ofel]

I'm trying to project a missile to a point vertically higher with fixed max height and velocity of x.
Max height should be based on whether initial x or target x, depending which one is higher (above target).

Anyone know how to find or operate the velocity of y?

Or maybe any other way to draw the parabolic line of the projection, as long as the max height and velocity of x remain fixed. Thanks in advance.

Edit:
I did a really bad explanation :/

 

[Ceday]

Does "Parabola for different starting and end height" section explain what you ask, or did I misunderstand?

About Movement

 

[Ofel]

Does "Parabola for different starting and end height" section explain what you ask, or did I misunderstand?

About Movement

Right! This is just what I wanted.
Thanks.

Didn't notice that section.