OCR C1 2014 June — Question 10

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2014
SessionJune
TopicCurve Sketching
TypeTangent and normal to curve

10 A curve has equation \(y = ( x + 2 ) ^ { 2 } ( 2 x - 3 )\).
  1. Sketch the curve, giving the coordinates of all points of intersection with the axes.
  2. Find an equation of the tangent to the curve at the point where \(x = - 1\). Give your answer in the form \(a x + b y + c = 0\). \section*{OCR}