(Canadian Senior Mathematics Contest 2022, Part B, Question 1, CEMC - UWaterloo)

The parabola with equation $y = −x^2 + 16$ intersects the x-axis at points $A$ and $B$ and the horizontal line with equation $y = 7$ at points $M$ and $N$, as shown.
a) Determine the coordinates of $A$ and $B$.
b) Determine the area of the trapezoid $MNBA$.
c) Suppose that $O$ is the origin and $V$ is the vertex of the parabola. The line $y = −33$ intersects the parabola at points $P$ and $Q$. Determine the area of quadrilateral $VPOQ$, which is shaded in the diagram below.


Answer Submission Note(s)
Your answer for the first part should be point $A$ followed by point $B$, in the form "(x1,y1),(x2,y2)". The answer for the other two parts should be integers. The final answer should have all three answers space-separated and in order.