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If it were written in a book of some sort, fx or f(x) is read aloud as "f or x". "f" is a function of some variable, "x". By function it means something happens to x e.g. x2 or 3x+4.
the graph is moved down 6 units
It is the straight line through the points (0, -1) and (1, 0).
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Select a set of values for x. For each value of x calculate the corresponding value of y using the function x2 - 4x - 4. Plot these points and join together with as smooth a curve as you can manage.