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Learn how to write the equation of a reciprocal function given the transformations. The parent function of a reciprocal function is of the form f(x) = 1/x. The general form of reciprocal function is of the form f(x) = a/(x+/-h) +/- k, where a is the vertical stretch, h is the horizontal shift and k is the vertical shift.
To write the equation of a reciprocal function, gicen the transformation, we first write the parent function, f(x) = 1/x and then apply the required transformations. Noting that, reflection negates the function, a shift of h units to the left adds h to x, while a shift of h units to the right subtracts h from x, a shift of k units up adds k to the function, while a shift of k units down subtracts k from the function.
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