Answer:
[tex](0,2)[/tex]
Step-by-step explanation:
Determine x-coordinate of vertex
[tex]x=-\frac{b}{2a}\\ \\x=-\frac{0}{\frac{1}{2}}\\\\x=0[/tex]
Determine y-coordinate of vertex
[tex]y=\frac{1}{2}(0)^2+2[/tex]
[tex]y=2[/tex]
Therefore, the vertex is at [tex](0,2)[/tex]
