Answer
(a) $ y=-(x+7)^{2}$
(b) $ y=-(x-4)^{2}$
Work Step by Step
Since the shifts are all along the x-axis and the original equation is $ y=-x^{2}$, we have:
(a) $ y=-(x+7)^{2}$
(b) $ y=-(x-4)^{2}$
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