Given the Quadratic Equation:
[tex]y=2(x-5)^2+3.5[/tex]
You can identify that it is written in Vertex Form:
[tex]y=a(x-h)^2+k[/tex]
Where "h" is the x-coordinate of the Vertex and "k" is the y-coordinate of the Vertex of the parabola.
In this case, you can identify that:
[tex]\begin{gathered} h=5 \\ k=3.5 \end{gathered}[/tex]
Therefore, you can determine that the Vertex of this parabola is:
[tex](5,3.5)[/tex]
Hence, the answer is:
[tex](5,3.5)[/tex]
