book Maths Puzzle Numerical Ability

What is the turning point, and focus of y= 1/4x2? Also what is its directrix?

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book Other Question

Five boys and girls stand in a line. How many arrangements are possible if all of the boys stand in succession?

Thanks for your help. The answer the book provides is 86400 but I What is the quadratic equation for:
The sum of the squares of two consecutive positive integers is 85.