Question

Which function is not a translation of f(x)=x2+17? f(x)=−x2−17 f(x)=(x−4)2 f(x)=(x+12)2 f(x)=(x−4)2+17

Answer 1

f(x) = -x²-17 is not a translation.

A translation of this graph would either have something added to/subtracted from the end of the function (the c value) or something added or subtracted to x before it is squared. f(x) = -x²-17 is a reflection, as the coefficient of x² is negative.

Every other choice has something either added to or subtracted from either x before it is squared or from the end.