If y(t)-k=A*sin(bt-c) what is phase shift, if h(t)-k=A*f(bt-c) what is the translation of the function f on t axis?

Question

These questions are too often answered "phase shift is positive c", "translation is positive c."

Forever when this question is encountered, must put y(t) and h(t) into standard form,

y(t)-k=A*sin(B*(t-C)) and h(t)-k=A*f(B*(t-C), or in these examples

y(t)-k=A*sin(b*(t-c/b))

h(t)-k=A*f(b*(t-c/b)

That is, the phase shift for y(t)-k=A*sin(bt-c) is positive c/b

and the translation of the function f on the t axis for h(t)-k=A*f(bt-c) is positive c/b

This is a critical step especially in engineering modeling and graphing estimations.

Answer 1

If you disagree that phase shift is c/b please answer - else I wil delete question since it is disingenuous.