Answer
(a) See graph.
(b) $0,4$
(c) See graph.
Work Step by Step
(a) To obtain the graph of $y=3(x-2)^2-12$ from $y=x^2$, shift the curve 2 units to the right, stretch vertically by a factor of 3, then shift 12 units down. See graph.
(b) We can find the real zeros $x=0,4$
(c) See graph.