Question Sketched below is the graph of g(x)=-2x -3x +12x+20=-(2x-5)(x+2) A and T are turning points of

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Sketched below is the graph of g(x)=-2x -3x² +12x+20=-(2x-5)(x+2)² A and T are turning points of g. A and B are the x-intercepts of g. P(-3; 11) is a point on the graph. 9.1 9.2 9.3 9.4 9.5 P(-3; 11) A 10 T 8 B Determine the length of AB. Determine the x-coordinate of T. Determine the equation of the tangent to g at P(-3; 11), in the form y=... Determine the value(s) of k for which-2x²-3x² +12x+20= k has three distinct roots. Determine the x-coordinate of the point of inflection. (5) (3) [18] Sketched below is the graph of g(x)=-2x -3x² +12x+20=-(2x-5)(x+2)² A and T are turning points of g. A and B are the x-intercepts of g. P(-3; 11) is a point on the graph. 9.1 9.2 9.3 9.4 9.5 P(-3; 11) A 10 T 8 B Determine the length of AB. Determine the x-coordinate of T. Determine the equation of the tangent to g at P(-3; 11), in the form y=... Determine the value(s) of k for which-2x²-3x² +12x+20= k has three distinct roots. Determine the x-coordinate of the point of inflection. (5) (3) [18]

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