OCR C1 2005 June — Question 3

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2005
SessionJune
TopicCurve Sketching
TypeReflections

3
  1. Sketch the curve \(y = x ^ { 3 }\).
  2. Describe a transformation that transforms the curve \(y = x ^ { 3 }\) to the curve \(y = - x ^ { 3 }\).
  3. The curve \(y = x ^ { 3 }\) is translated by \(p\) units, parallel to the \(x\)-axis. State the equation of the curve after it has been transformed.