Write down the coordinates of the vertex of the graph of g.

On the grid above, sketch the graph of g for −2 ≤ x ≤ 4.

Find the area of the region enclosed by the graphs of f and g.

(1,5) (exact)      A1 N1

[1 mark]

      A1A1A1  N3

Note: The shape must be a concave-down parabola.
Only if the shape is correct, award the following for points in circles:
A1 for vertex,
A1 for correct intersection points,
A1 for correct endpoints.

[3 marks]

integrating and subtracting functions (in any order)      (M1)
eg  $\int {f - g}$

correct substitution of limits or functions (accept missing dx, but do not accept any errors, including extra bits)     (A1)
eg $\int_{ - 1}^2 {g - f,\,\,\int { - {{\left( {x - 1} \right)}^2}} }  + 5 - {x^2}$

area = 9  (exact)      A1 N2

[3 marks]