book Maths Puzzle Numerical Ability

Please....Find the vertex,focus, and directix of the graph of the equation
8(y+2)=(x+6)^2

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book Other Question

The sum of a number and 4 times its reciprocal is 25 over 6...

equation is: X+4(1/X)+25/6... but how do I solve this?

Thank you! solve the equation below for y in terms of x
4x+3y=15