I'm usually teaching math in French but I'm trying to find an English vocabulary equivalent to "équation de forme canonique" or "équation de forme généralisée".

In French, it's the name of a function written in the form using a, b, h and k parameters.

Like :

f(x) = a(b(x-h))³+k

f(x) = a log

_{c}(b(x-h)) + k

f(x) = a(c)

^{b(x-h)}+k

f(x) = a sin(b(x-h)) + k

etc.

Those equations are all in "canonique" or "généralisée" form.

Is there an equivalent in English?