Suppose is transformed to .

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

Problem

Suppose f(x)=x2f(x) = x^2 is transformed to g(x)=(x−3)2+2g(x) = (x - 3)^2 + 2 . (1) Find the images of the following points on f(x)f(x) : - (0,0)(0, 0) - (−3,9)(-3, 9) - (2,4)(2, 4) (2) Find the points on f(x)f(x) which correspond to the following points on g(x)g(x) : - (1,6)(1, 6) - (−2,27)(-2, 27) - (112,414)(1\frac{1}{2}, 4\frac{1}{4})

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