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Question

Investigate the one-parameter family of functions. Assume that a is positive. (a) Graph f(x) using three different values for a. (b) Using your graph in part (a), describe the critical points of f and how they appear to move as a increases. (c) Find a formula for the x-coordinates of the critical point(s) of f in terms of a. $f ( x ) = ( x - a ) ^ { 2 }$

Solution

VerifiedStep 1

1 of 4(a)

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