I'm teaching this year out of "Precalculus with limits" by Ron Larson [7th ed], and the following expression appears in the unit introducing polynomial functions:
He calls this the "standard form of a quadratic function".
I've only ever seen this form referred to as "vertex form", whereas "standard form" instead means a quadratic expression written as:
This ambiguity is EXTREMELY confusing for my students, and it's really obnoxious for me, too. (I have to rewrite all materials to
Does anyone know why this terminological variation is introduced in this textbook or how well-established it is in general? I can't think of any good reason for changing it now unless it actually is well-established elsewhere. But I don't think I've ever seen this over the past 25 years, at least not in the US.