book Maths Puzzle Numerical Ability

Find the vertex and focus of the Parabola whose equation is 4(y-2) = (x-4) ^2.

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SIMPLY THIS EQUATION

(a + b)^2 - (a - b)^2 divided by 2ab
{{{(x-2)^2/9+(y-4)^2/25=1}}} This equation defines an ellipse with center (___, ___). The major axis has length ____ and the minor axis has length ____.