A Level

MATHEMATICS · Multi-part · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

Let

f(x)=(x-1)^2-4

. (1) Describe the transformation which transforms

y=f(x)

y=f(-x)

. (2) Describe the transformation which transforms

y=f(-x)

y=f\left(-\frac{1}{2}x\right)

. (3) Hence draw the graphs of

y=f(x)

y=f(-x)

, and

y=f\left(-\frac{1}{2}x\right)

on the same set of axes.