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 y=h(x)=f(−x)y=h(x)=f(-x). (1) (a) Find the image points on y=h(x)y=h(x) for the following points on y=f(x)y=f(x): (i) (2,−1)(2,-1), (ii) (0,3)(0,3), (iii) (−1,2)(-1,2). (2) (b) Find the points on y=f(x)y=f(x) corresponding to the following points on y=h(x)y=h(x): (i) (5,−4)(5,-4), (ii) (0,3)(0,3), (iii) (2,3)(2,3).

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