How do you find the vertex and axis of symmetry of # f(x)= 3x^2 + 12x + 1#?
This is a quadratic equation of a parabola (the squared term gives it away)
#y = ax^2+bx+c#
the vertex is located where
this occurs where
substitute into the equation to figure out the y coordinate of the vertex.
The axis of symmetry is the vertical line passing through the vertex which is