Question 5 - A-Level Maths

Exam Board	OCR MEI
Module	C3 (Core Mathematics 3)
Year	2009
Session	January
Topic	Curve Sketching
Type	Sketch transformations from algebraic function

State the period of the function \(\mathrm { f } ( x ) = 1 + \cos 2 x\), where \(x\) is in degrees.
State a sequence of two geometrical transformations which maps the curve \(y = \cos x\) onto the curve \(y = \mathrm { f } ( x )\).
Sketch the graph of \(y = \mathrm { f } ( x )\) for \(- 180 ^ { \circ } < x < 180 ^ { \circ }\).