77 a A table of values for the graph will be: B1 2 B1 for finding suitable points to assist sketch the graph H 3 B1 B1 for a suitable sketch of the graph f(x + 3) 2 is a translation 3 left and 2 – down of f(x). Therefore, as the turning point moves 2 down, it will now turn on x-axis, the giving one real root at the point (–3.5, 0). b B1 B1 for explaining how the function will change the graph B1 B1 for explanation about turning point being now on the x-axis 4
77 a b A table of values for the graph will be: f(x + 3) – 2 is a translation 3 left and 2 down of f(x). Therefore, as the turning point moves 2 down, it will now turn on the x-axis, giving one real root at the point (–3.5, 0). B1 B1 B1 B1 2 3 B1 for finding suitable points to assist sketch the graph B1 for a suitable sketch of the graph B1 for explaining how the function will change the graph B1 for explanation about turning point being now on the x-axis H 4