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Yes it does
The same as multiplying any other function by a negative number - after multiplying, positive numbers will become negative numbers, and vice versa.
Multiplying a function by -1 will make it a reflection of the original function across the x axis.
The Mandelbrot graph is generated iteratively and so is a function of a function of a function ... and in that sense it is a composite function.
The graph of a continuous function will not have any 'breaks' or 'gaps' in it. You can draw it without lifting your pencil or pen. The graph of a discrete function will just be a set of lines.