A Level

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

Problem

Let f(x)=x+2f(x)=x+2. (1) Describe the transformation that transforms y=f(x)y=f(x) to y=−f(x)y=-f(x). (2) Describe the transformation that transforms y=−f(x)y=-f(x) to y=−3f(x)y=-3f(x). (3) Hence, draw the graphs of y=f(x)y=f(x), y=−f(x)y=-f(x), and y=−3f(x)y=-3f(x) on the same set of axes.

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