AQA C1 2008 January — Question 5

Exam BoardAQA
ModuleC1 (Core Mathematics 1)
Year2008
SessionJanuary
TopicQuadratic Functions

5
  1. Factorise \(9 - 8 x - x ^ { 2 }\).
  2. Show that \(25 - ( x + 4 ) ^ { 2 }\) can be written as \(9 - 8 x - x ^ { 2 }\).
  3. A curve has equation \(y = 9 - 8 x - x ^ { 2 }\).
    1. Write down the equation of its line of symmetry.
    2. Find the coordinates of its vertex.
    3. Sketch the curve, indicating the values of the intercepts on the \(x\)-axis and the \(y\)-axis.