Here is the answer for a:
Answer:
8 pieces of candy
Step-by-step explanation:
Take the original amount of candy in the bowl to be
.
It says that 20 pieces of candy were added, therefore there are
pieces of candy in the bowl.
Half of the candy is gone, therefore
pieces of candy are left in the bowl.
After half of the candy is gone, there are 14 pieces left, so we can say that 
Solve for
:


The equation for a parabola with directrix y = –p and focus (0, p)
The distance between vertex and directrix is P
Also the distance between vertex and focus is also P
Focus (0,p) so focus lies on y axis
Directrix line is paralled to focus point
So Directex crosses the x axis .
Hence line of symmetry lies is the y-axis.
The graph is attached below.