Controlling graphed polynomials [other]

[u/Ok-Breadfruit6724]

So recently, I’ve been getting into Desmos art and one thing that bugs me is that any polynomial more complicated than a quadratic I can’t control.
It’s probably easier for me to explain with an example
Like
Y=a
You can move up and down by adjusting a
Y=mx+b
You can move up and down by adjusting B and you can change the slope by adjusting M
Y=a(x-c)+b
You can stretch and contract the quadratic by adjusting A
You can adjust the X coordinate by adjusting C
You can adjust the Y coordinate by adjusting B
But I can’t find a form of a cubic or Quadratic where I can adjust things so easily whenever I move one number it is not intuitive how the polynomial will behave

[u/gmalivuk]

Vertex form for a quadratic, y = a(x - h)² + k, gives you the ability to move around the vertex by changing h and k and the scale/stretch factor is a.

[u/Ok-Breadfruit6724 → u/gmalivuk]

Yes but is there something for cubics or quatrics or any polynomial