Given is the graph of the relation \(y = ax^{2} + bx + c\) where a, b and c are constants. Use the graph to : (a) find the roots of the equation \(ax^{2} + ...

Given is the graph of the relation \(y = ax^{2} + bx + c\) where a, b and c are constants. Use the graph to :

(a) find the roots of the equation \(ax^{2} + bx + c = 0\);

(b) determine the values of constants a, b and c in the relation using the values of the coordinates P and Q and hence write down the relation illustrated in the graph

(c) find the maximum value of y and the corresponding value of x at this point.

(d) find the values of x when y = 2.