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

Question

Graham Pittman

Mathematics

3 September, 19:39

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

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Answers (1)

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Carlee Hurley · 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.