C) Notice Q has the coordinates (d,e) e = f(d) x = d
D) since c= f(0) it follows z = 0 f(x) =0 for x = h
E) if f(b) = -f(d) What do you mean by symmetrical? symmetrical with respect to what? Any way knowing the relationship beteween just 2 points can't allow you to make any statements about f(x) in general.
Note the graph is not symmetrical wrt x axis or y axis.
What you can conclude is a = - e since f(b) = a and f(d) = e