Answer
(a) B.
(b) A.
(c) E.
(d) C.
(e) D.
Work Step by Step
(a) We can identify the equation as a parabola opens to the right, thus choose B.
(b) We can identify the equation as a circle centered at $(-3,1)$, thus choose A.
(c) Rewrite the equation as $\frac{(x-2)^2}{1}+\frac{(y-1)^2}{25}=4$, we can identify the equation as an ellipse with a major vertical axis, thus choose E.
(d) We can identify the equation as an ellipse with a major horizontal axis, thus choose C.
(e) We can identify the equation as a parabola opens down, thus choose D.