This question is intended as an extension of a previous question:
And, because of generous contributions made by PointyEars in the above link, I would like to designate 100 points to PointyEars (provided some comment is made here).
I am looking for general information regarding standard forms,
How many "standard forms" are there?
For the parabola:
(x-h)² = 4p(y-k) - http://www.gomath.com/Questions/question.php?question=13281
y=a(x-p)²+q - From my text.
y = A*x² - From snoyes_jw
y = A*x² + B
I want to be able to recognize variations of standard forms. I also want to make it interesting. The comments made by PointyEars in the link above did just that. Hoping for more of the same.