A Level

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

Problem

Consider

f(x)=x^3+1

. (1) Find in simplest form:

-f(x)

. (2) Find in simplest form:

f(-x)

. (3) Graph

y=f(x)

y=-f(x)

, and

y=f(-x)

on the same set of axes. (4) What transformation moves

y=f(x)

y=-f(x)

? (5) What transformation moves

y=f(x)

y=f(-x)