A function is transformed to .

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

Problem

A function f(x)f(x) is transformed to g(x)=−f(−x)g(x)=-f(-x). (1) What combination of transformations has taken place? (2) If (3,−7)(3,-7) lies on y=f(x)y=f(x), find the transformed point on y=g(x)y=g(x). (3) Find the point on f(x)f(x) that transforms to (−5,−1)(-5,-1).

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