Use the Function Below and Its Derivative to Determine Any $f$

Multiple Choice

Use the function below and its derivative to determine any points on the graph of $f$ at which the tangent line is horizontal.
$f(x) =3 x^{4}-6 x^{2}, f^{\prime}(x) =12 x^{3}-12 x$

A) $(-1,-3) ,(0,0) ,(1,-3)$
B) $(-1,3) ,(1,12)$
C) $(-1,-3) ,(1,-3)$
D) $(0,0) ,(1,0)$
E) $(0,0) ,(1,-3)$