Answer
Axis of Symmetry =$\gt$ $x=\frac{3}{2}$
Vertex =$\gt$ $(\frac{3}{2}, \frac{19}{4})$
Work Step by Step
Axis of symmetry: $x=\frac{-(-b)}{2a}$
$x=\frac{-(-9)}{2(3)}$
$x=\frac{9}{6} \approx \frac{3}{2}$
Vertex: $y = 3x^{2}-9x+2$
*Plug in the axis of symmetry in place of x*
$y = 3(\frac{3}{2})^2-9( \frac{3}{2}) + 2$
$y = 3(\frac{9}{4})-\frac{27}{2}+ 2$
$y = \frac{27}{4}-\frac{27}{2} + 2$
$y =-\frac{19}{4} $
