exam Maths Puzzle Numerical Ability

Please help me on how to figure out the vertex of the equation 2y=x2(this is x squared)-2x-5.

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exam Other Question

In my class today, we learned rates. Here is one of my problems: 55mi/h=?ft/s I have no clue what to do. I wrote out 55mi * ____ = ____ft
1 h s
What am I supposed to do next?
Write each expression in simplest form.
4r^2 - 25s^2 / 2r^2 + 3rs - 20s^2