Answer
Option (E)
Work Step by Step
RECALL:
(1) The vertex form of a quadratic function whose vertex is at $(h, k)$ is: $f(x) = a(x-h)^2+k$
(2) The graph of the quadratic function $ax^2+bx+c$ is a parabola that opens:
(i) upward when $a \gt 0$;
(ii) downward when $a\lt 0$.
Using the vertex form in (1) above, the given function has its vertex at $(0, -1)$.
Using the rule in (2) above, with $a=-1$, the given function's graph is a parabola that opens downward.
The parabola that opens downward and whose vertex is at $(0, -1)$ is the one in Option (E).