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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14-03-2018
Mathematics

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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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MsEHolt MsEHolt · Answer 1 · 2018-03-24T19:39:57+01:00

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.