OCR C1 2009 January — Question 4

Exam BoardOCR
ModuleC1 (Core Mathematics 1)
Year2009
SessionJanuary
TopicCurve Sketching
TypeSingle transformation application

4
  1. Sketch the curve \(y = \frac { 1 } { x ^ { 2 } }\).
  2. The curve \(y = \frac { 1 } { x ^ { 2 } }\) is translated by 3 units in the negative \(x\)-direction. State the equation of the curve after it has been translated.
  3. The curve \(y = \frac { 1 } { x ^ { 2 } }\) is stretched parallel to the \(y\)-axis with scale factor 4 and, as a result, the point \(P ( 1,1 )\) is transformed to the point \(Q\). State the coordinates of \(Q\).