Question

The graphs of f(x) = ax + bx + cx+d and g(x) = 6x-6 are sketched below. A(-1:0) and C(3 : 0) are the x-intercepts of f. The graph of f has turning points at A and B. D(0:- 6) is the y-intercept of f. E and D are points of intersection of the graphs of f and g. 9.1 9.2 9.3 E A(-1:0) 0 D(0:-6) B C(3:0) Show that a = 2; b= -2; c=-10 and d=-6. Calculate the coordinates of the turning point B. h(x) is the vertical distance between fix) and g(x), that is h(x) = f(x)-g(x). Calculate x such that h(x) is a maximum, where x