OCR C1 2010 June — Question 8

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2010
SessionJune
TopicQuadratic Functions

8
  1. Express \(2 x ^ { 2 } + 5 x\) in the form \(2 ( x + p ) ^ { 2 } + q\).
  2. State the coordinates of the minimum point of the curve \(y = 2 x ^ { 2 } + 5 x\).
  3. State the equation of the normal to the curve at its minimum point.
  4. Solve the inequality \(2 x ^ { 2 } + 5 x > 0\).