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).