Given is the family of functions f(x) = 1/2 x^2 + 2x + c
a. Take c = 16 and calculate the coordinates of the points of intersection of the accompanying parabola with the x axis.
b. What are the coordinates of the top of the parabola in a.
c. For which value(s) of c does the accompanying graph not have any points in common with the x axis
