Answer
(a) See graph.
(b) $-6,-2$
(c) See graph.
Work Step by Step
(a) To obtain the graph of $y=2(x+4)^2-8$ from $y=x^2$, shift the curve 4 units to the left, stretch vertically by a factor of 2, then shift 8 units down. See graph.
(b) We can find the real zeros $x=-6,-2$
(c) See graph.