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{"ops":[{"insert":"The sketch shows the graph of a function f, which is a straight line defined by y = mx + k such that the point V (-3,4) lies on the line, and the graph of a function g, which is a parabola with vertex R. The straight line and parabola intersect at P and Q. The points S and T lie on the parabola and straight line , respectively, between P and Q. The line ST is parallel to the y-axis.\n1. Calculate m and k , and hence write down the equation for f.\n2. Find the equation of the parabola.\n3. Find the maximum length of ST . At what value of x will ST be at its longest? \n4. What is the equation of the circle with center P and radius equal to the distance from P to the origin? \n5. What is the equation of the hyperbola through the point V?\n 6. Use the graph to solve the inequality (f.g)(x)<0.\n"}]}
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