Answer
Vertex: (0,3)
Axis of Symmetry: x = 0
Work Step by Step
$Y = \frac{1}{4} x^{2} +3$
To find vertex:
Use: $\frac{-b}{2a}$ to find the x cordinate
In this case $\frac{-b}{2a}$ = $\frac{-0}{2*(1/4)}$ which = 0
Then plug the x cordinate (0) in to get the y cordinate:
$Y = \frac{1}{4} 0^{2} +3$
$Y = 0+3$
$Y = 0$
So vertex = (0,3)
Axis of Symmetry = the x cordinate
So Axis of Symmetry is x = 0
