OCR C1 2012 January — Question 9

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2012
SessionJanuary
TopicQuadratic Functions

9
  1. Sketch the curve \(y = 12 - x - x ^ { 2 }\), giving the coordinates of all intercepts with the axes.
  2. Solve the inequality \(12 - x - x ^ { 2 } > 0\).
  3. Find the coordinates of the points of intersection of the curve \(y = 12 - x - x ^ { 2 }\) and the line \(3 x + y = 4\).