Question

The graphs of y=g'(x) = ax+bx+c and h(x)=2x-4 are sketched below. The graph of y=g'(x) = ax +bx+c is the derivative graph of a cubic function g. The graphs of h and g' have a common y-intercept at E. C(-2:0) and D(6:0) are the x-intercepts of the graph of g A is the x-intercept of h and B is the turning point of g'. AB || y-axis. 9.1 9.2 9.3 9.4 9.5 C(-2:0) h D(6:0) ff O B Write down the coordinates of E. Determine the equation of the graph of g' in the form y = ax +bx+c.. Write down the x-coordinates of the turning points of g. Write down the x-coordinate of the point of inflection of the graph of 8. Explain why g has a local maximum at x = -2. y = g'(x) (1) (2) (3)