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Consider the parent quadratic function f(x) = x2. Give the equation of a function that represents a horizontal translation of the parent, that is, it has moved right or left.

 Sep 5, 2016
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For the function  f(x) = x2,  the function  f(x) = (x - h) represents a horizontal translation of  h  units.

For example:  f(x)  =  x2  has a vertex at  (0,0)

                       f(x)  =  (x - 3)2  has a vertex at (3,0)

                       f(x)  =  (x + 5)2  has a vertex at (-5,0)

All of these are congruent to each other and open upward.

 Sep 5, 2016

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