Which of the following correctly presents the vertex form of a vertical parabola and identifies its vertex?

Convert the equation $y=2x^2+8x+5$ into vertex form by completing the square, and identify the vertex.

Given the equation of the vertical parabola $y=0.5(x-1{)}^2+3$, determine the coordinates of the focus and the equation of the directrix.

Complete the square to convert $x=y^2+6y+10$ into vertex form $x=a(y-k{)}^2+h$. Then, identify the vertex and the axis of symmetry.

A garden arch is shaped like a vertical parabola. The vertex of the arch is $6$ units high at $x=1$, and the arch is $4$ units high at $x=3$. Determine the value of $a$ and write the equation of the arch in the form $y=a(x-1{)}^2+6$.