A curve has the equation y= 2 - 5x - 3x^2. (i) Find the values of a, b and c for which y= a- b(x + c)^2 (ii) State the maximum value of y and the corresponding value of x. (iii) Sketch the graph of y= 2-5x-3x^2 for -2.5<= x <= 1, indicating clearly the coordinates of the maximum point and points of intersection with the axes. (iv) State the set of values of p for -2.5<= x <= 1, where the equation y=p has (a) 2 solutions (b) no solution (c) 1 solution​