OCR C2 — Question 9

Exam BoardOCR
ModuleC2 (Core Mathematics 2)
TopicAreas Between Curves

9.
\includegraphics[max width=\textwidth, alt={}, center]{faa66f88-9bff-4dc9-955f-80cdab3fdd34-3_538_872_1790_447} The diagram shows the curves \(y = 2 x ^ { 2 } - 6 x - 3\) and \(y = 9 + 3 x - x ^ { 2 }\).
  1. Find the coordinates of the points where the two curves intersect.
  2. Find the area of the shaded region bounded by the two curves.