Question 5 - A-Level Maths

Exam Board	OCR
Module	C1 (Core Mathematics 1)
Year	2011
Session	January
Topic	Curve Sketching
Type	Single transformation application

Sketch the curve \(y = - x ^ { 3 }\).
The curve \(y = - x ^ { 3 }\) is translated by 3 units in the positive \(x\)-direction. Find the equation of the curve after it has been translated.
Describe a transformation that transforms the curve \(y = - x ^ { 3 }\) to the curve \(y = - 5 x ^ { 3 }\).