Question The function f(x) = -2x + ax+bx+c is sketched below. The turning points of the graph

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The function f(x) = -2x³ + ax²+bx+c is sketched below. The turning points of the graph of f are T(2:-9) and S(5:18). 9.1 9.2 9.3 S(5:18) T(2 : -9) Show that a = 21, b = -60 and c = 43. Determine an equation of the tangent to the graph of fat x = 1. Determine the x-value at which the graph of f has a point of inflection. The function f(x) = -2x³ + ax²+bx+c is sketched below. The turning points of the graph of f are T(2:-9) and S(5:18). 9.1 9.2 9.3 S(5:18) T(2 : -9) Show that a = 21, b = -60 and c = 43. Determine an equation of the tangent to the graph of fat x = 1. Determine the x-value at which the graph of f has a point of inflection.