The Vertex of a Parabola Occurs Where the Derivative of Its

Multiple Choice

The vertex of a parabola occurs where the derivative of its equation is 0, so an equation associated with the equation of a
parabola can be solved to find the x-coordinate of the vertex. Find the vertex of the parabola, given the equation of the
parabola and its associated equation.
-Equation of parabola: $f ( x ) = x ^ { 2 } - 6 x + 1$ ; associated equation: $0 = 2 x - 6$

A) $( 3 , - 8 )$
B) $( 3,28 )$
C) $( - 3,28 )$
D) $( - 3 , - 8 )$