5.a.2 - 2015 Q10
10) You are given that f(x) = (x+3)(x-2)(x-5).
i) Sketch the curve y = f(x). (3)
ii) Show that f(x) may be written as x3 - 4x2 - 11x + 30. (2)
iii) Describe fully the transformation that maps the graph of y = f(x) onto the graph of y = g(x), where g(x) = x3 -4x2 -11x-6. (2)
iv) Show that g(-1) = 0. Hence factorise g(x) completely. (5)
i) Sketch the curve y = f(x). (3)
ii) Show that f(x) may be written as x3 - 4x2 - 11x + 30. (2)
iii) Describe fully the transformation that maps the graph of y = f(x) onto the graph of y = g(x), where g(x) = x3 -4x2 -11x-6. (2)
iv) Show that g(-1) = 0. Hence factorise g(x) completely. (5)