Answer
Please see the graph.
Work Step by Step
The graph was made using graphing software.
$y=6x^2-12x+1$
vertex:
$x=-b/2a$
$x=-(-12)/2*6$
$x=12/12 = 1$
$y=6x^2-12x+1$
$y=6*1^2-12*1+1$
$y=6-12+1$
$y=-5$
The vertex is labeled, and the green line is the axis of symmetry.
