OCR AS Pure 2017 Specimen — Question 1

Exam BoardOCR
ModuleAS Pure (AS Pure Mathematics)
Year2017
SessionSpecimen
TopicFunction Transformations
TypeSingle transformation sketch

1
  1. The diagram below shows the graph of \(y = \mathrm { f } ( x )\).
    \includegraphics[max width=\textwidth, alt={}, center]{54bdddcb-c1ef-4b60-af6c-ac944cae29fe-03_793_1470_571_356}
    1. On the diagram in the Printed Answer Booklet draw the graph of \(y = \mathrm { f } ( x + 3 )\).
    2. Describe fully the transformation which transforms the graph of \(y = \mathrm { f } ( x )\) to the graph of \(y = - \mathrm { f } ( x )\).
  2. The point \(( 2,3 )\) lies on the graph of \(y = \mathrm { g } ( x )\). State the coordinates of its image when \(y = \mathrm { g } ( x )\) is transformed to
    1. \(\quad y = 4 \mathrm {~g} ( x )\)
    2. \(\quad y = \mathrm { g } ( 4 x )\).