Answer
(a) $ y=-(x-1)^{2}+4$
(b) $ y=-(x+2)^{2}+3$
(c) $ y=-(x+4)^{2}-1$
(d) $ y=-(x-2)^{2}$
Work Step by Step
The original function is $ y=-x^{2}$ and the shift values along the $x$ and $y$ axis are all known. Thus, we have:
(a) $ y-4=-(x-1)^{2}$
(b) $ y-3=-(x+2)^{2}$
(c) $ y+1=-(x+4)^{2}$
(d) $ y=-(x-2)^{2}$
