Given: f(x) = -x2 + 6x + 7
5.1 Determine the coordinates of the turning point of f. (3)
5.2 Determine the x-intercepts of f. (2)
5.3 Draw a neat sketch of f, clearly indicating all intercepts with the axes and the turning
point. (4)
5.4 Write down the equation of the axis of symmetry of f. (1)
5.5 Determine the average gradient of f between x = -3 and x =1. (4)
5.6 The graph of f is shifted 4 units to the left and reflected in the x-axis to form h.
Write down the equation of h in the form h(x) = a(x + p)2 +q. (2)
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