book Maths Puzzle Numerical Ability

If P(4, -5) is a point on the graph of the function y = f(x), find the corresponding point on the graph of y = 2f(x-6).

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book Other Question

x^2+3x-4= (x+4),(x-1)
x = -4 or +1
I need to state which type od conic the following is:

xy=3

is this a circle?