u/felicaamikoin r/GraphicsProgramming • Recommends
On “Non leaner Equation”
this curve is a quadratic bezier.
this is a parametric function. in a parametric function, you don't plug in x and get one y. with cubic beziers, some curves fail the "vertical line test" so that is why it's usually not in the y= notation.
for this curve, we have a value t, and as t goes from 0 to 1, there is a formula that takes in t, the coordinates of the end points to return you the coordinates for each value of t.
here is a short video about bezier curves. the first 2 minutes should be useful enough.
[video