OCR C1 2008 June — Question 10

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2008
SessionJune
TopicQuadratic Functions

10
  1. Express \(2 x ^ { 2 } - 6 x + 11\) in the form \(p ( x + q ) ^ { 2 } + r\).
  2. State the coordinates of the vertex of the curve \(y = 2 x ^ { 2 } - 6 x + 11\).
  3. Calculate the discriminant of \(2 x ^ { 2 } - 6 x + 11\).
  4. State the number of real roots of the equation \(2 x ^ { 2 } - 6 x + 11 = 0\).
  5. Find the coordinates of the points of intersection of the curve \(y = 2 x ^ { 2 } - 6 x + 11\) and the line \(7 x + y = 14\).