Answer
The parabola opens to the left.
Work Step by Step
The graphing form of a "sleeping" or sideways parabola is:
$x = a(y-k)² + h $
if the coefficient of a is negative, it opens to the left, if it is positive, it opens to the right.
$x=-y^2-y+2$
in this case a is -1 so it opens to the left.
