The diagram shows a quadratic given by y = r² + b3 + c. (2,4) (a)…

The diagram shows a quadratic given by y = r² + b3 + c. (2,4) (a) Use the diagram to show that b= -4 and c= = 8. (b) Find k given that the graph passes through the point (3,k). (c) Use the quadratic obtained in part (a) to show that this graph doesn’t have any real roots. Hence find the complex roots of the quadratic.