The directrix of the parabolas are parallel to the x-axis.
This means that, the orientation of the parabola is parallel to the y-axis.
We compare the focus and the directrix to determine whether the parabola opens downwards or upwards.
If the directrix is above the focus, then the parabola opens downwards.
On the other hand if the directrix is below the focus , then the parabola must open upwards.
If you look at option C, y=-2 isthe directrix. The focus is (3,-5). Since the the y-value of the focus , -5 is less than y=-2 which is the directrix, this parabola must open down.
1/2 foot is 6 inches 6 times the amount of sides the cube has (6) would be 36 square inches so take that by the amount of boxes can fit(378) would give you the answer of 13,608
(p.s i am only in middle school i kind of understand this and i think this is right but if not i am 100% sorry)
(-1,4) is the vertex. reflect (-2,3) and (-3,0) onto the other side of the y-axis. you may use desmos to plug in the functions and the answer will be C, since it goes through the points given and reflected.
