Answer
Option (B)
Work Step by Step
The graph involves a parabola, so its parent function is $y=x^2$.
The parabola opens downward, so the function involves a reflection of the parent function about the x-axis. Thus, a tentative equation would be $y=-x^2$.
The vertex of the parent function is at $(0, 0)$.
The vertex of the given function is at $(0, 2)$, which involves a 2-unit vertical shift of the parent function.
Thus, the equation of the given function is:
$y=-x^2+2$
Therefore, the answer is Option (B).
