Answer
Axis of symmetry: x=0
Vertex: (0,3)
Work Step by Step
$y = 2x^{2} + 3 $
The standard form for a quadratic equation is
$y = ax^{2} + bx + c$ So a= 2, b= 0, and c= 3
Axis of symmetry:
The formula for axis of symmetry is
$x= \frac{-b}{2a}$
$x= \frac{-0}{2(2)}$
x=0
Vertex:
Plug in the x value of the axis of symmetry to find the y value of the vertex.
$y = 2x^{2} + 3 $
$y = 2(0)^{2} + 3 $
y= 0 + 3
y= 3
The vertex is (0,3)