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Exercise 2: (a) Sketch the graph of the parabola f(x)=(x-3)2+1. [Think in terms of function transformations. How do you obtain the graph of f from

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Exercise 2: (a) Sketch the graph of the parabola f(x)=(x-3)"2+1. [Think in terms of function transformations. How do you obtain the graph of f from the parent function y=x"2?] (b) Express the right half of the parabola "in terms of y" (that is, viewing x as a function of y): x=g(y)=??? (an expression in terms of y) (c) Express the left half of the parabola "in terms of y" (that is, viewing x as a function of y): x=h(y)=??? (an expression in terms of y) (d) Use your answers in parts (b) and (c) to nd the x-values of the points on the parabola that have y coordinate of 17

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