Question

Whats the Axis of Symmetry? willing to give 15 points !!

Answer 1

The axis of symmetry of a parabola in the form

$y=ax^2+bx+c$

is a vertical line

$x=k$

where k is the x coordinate of the vertex of the parabola.

The x coordinate of the vertex of the parabola is given by

$-\dfrac{b}{2a}$

which in your case is

$-\dfrac{-6}{2\cdot \frac{1}{4}}=\dfrac{6}{\frac{1}{2}}=6\cdot 2=12$

So, the axis of symmetry is the line x=12.