The sketch shows a circle, a parabola, which is the graph of f, and a straight line, which is the graph of g. Theparabola has zintercepts -2 and 6, and y-intercept 6. Its turning point is C. The circle has its centre at the originand it passes through the point A, which has coordinates (-2,0). At point B both the circle and the straight linecut the z-axis. The straight line has y-intercept 1.6What are the coordinates of B?What is the equation of gWrite down the equation of the line that is perpendicular to the graph of g and passes through B.Find the equation that defines f.Show that C has coordinates (2,8).What is the distance between A and C?Find the midpoint D of AC:Write down the equation of the circle that has AC as diameter.Find the maximum vertical distance between the graphs of f and g on the interval z € (0,6].

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The sketch shows a circle, a parabola, which is the graph of f, and a straight line, which is the graph of g. The parabola has zintercepts -2 and 6, and y-intercept 6. Its turning point is C. The circle has its centre at the origin and it passes through the point A, which has coordinates (-2,0). At point B both the circle and the straight line cut the z-axis. The straight line has y-intercept 1. 0 What are the coordinates of B? What is the equation of g Write down the equation of the line that is perpendicular to the graph of g and passes through B. Find the equation that defines f. Show that C has coordinates (2,8). What is the distance between A and C? Find the midpoint D of AC: Write down the equation of the circle that has AC as diameter. Find the maximum vertical distance between the graphs of f and g on the interval a € (0,6).