MARKS Page five 4. A wall plaque is to be made to commemorate the 150th anniversary of the publication of “Alice’s Adventures in Wonderland”. The edges of the wall plaque can be modelled by parts of the graphs of four quadratic functions as shown in the sketch. ( ) ( ) ( ) ( ) 2 2 2 2 1 1 = – +3 4 2 1 3 = – +5 4 2 3 9 = – +3 8 4 3 3 = – 8 4 f x x x g x x x h x x x k x x x i i i i (a) Find the x-coordinate of the point of intersection of the graphs with equations y = f (x) and y = g(x). The graphs of the functions f (x) and h(x) intersect on the y-axis. The plaque has a vertical line of symmetry. (b) Calculate the area of the wall plaque. [Turn over 2 7 y = f (x) y = h(x) y = g(x) y = k(x) y x O