The function is transformed to .

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

Problem

The function y=f(x)y=f(x) is transformed to g(x)=−f(x)g(x)=-f(x). (1) (a) Find the image points on y=g(x)y=g(x) corresponding to the following points on y=f(x)y=f(x): (i) (3,0)(3,0) (ii) (2,−1)(2,-1) (iii) (−3,2)(-3,2) (2) (b) Find the points on y=f(x)y=f(x) that are transformed to the following points on y=g(x)y=g(x): (i) (7,−1)(7,-1) (ii) (−5,0)(-5,0) (iii) (−3,−2)(-3,-2)

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