Answer to Question #92808 in Math for Dinah

Question

The sketch above shows graphs of the functions f and g. The graph of f is a parabola, with vertex B. The graph of g is a straight line which cuts the parabola at E on the y–axis and at A. The equation of f can be written as y =ax2 −x−6. The equation of g can be written as y =x+c. The line SR is parallel to the y-axis, where R is a point on the graph of f and S is a point on the graph of g. 7.1 (a) Show that a = 2. (b) Find the co-ordinates of B. (c) Find the co-ordinates of D. 7.2 (a) Find the equation of the straight line. (b) Find the co-ordinates of A. 7.3 Determine the maximum length of SR between E and A. 7.4 Use the graphs (i.e. do not solve an inequality) to determine all values of x for which

Answer 1

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