Answer
Please see the graph.
![](https://gradesaver.s3.amazonaws.com/uploads/solution/2db31e06-b11d-438a-9912-ce9286490178/result_image/1534478822.png?X-Amz-Algorithm=AWS4-HMAC-SHA256&X-Amz-Credential=AKIAJVAXHCSURVZEX5QQ%2F20240727%2Fus-east-1%2Fs3%2Faws4_request&X-Amz-Date=20240727T020309Z&X-Amz-Expires=900&X-Amz-SignedHeaders=host&X-Amz-Signature=40cc541eaa41515654c902bae72325d7e65788f772d3d203e1b13942f72b73a0)
Work Step by Step
$y=3x^2-6x$
vertex:
$x=-b/2a$
$x=-(-6)/2(3)$
$x = 6/6 = 1$
$y = 3x^2-6x$
$y=3*1^2-6*1$
$y=3*1-6$
$y=3-6 = -3$
One other point on the curve:
$x=0$
$y=3x^2-6x$
$y=3*0^2-6*0$
$y=3*0-0$
$y=0-0 = 0$
The blue line is the axis of symmetry.