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Investigate the given two parameter family of functions

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Question: Investigate the given two parameter family of functions. Assume that a and b are positive.

(a) Graph f(x) using b = 1 and three different values for a.

(b) Graph f(x) using a = 1 and three different values for b.

(c) In the graphs in parts (a) and (b), how do the critical points of f appear to move as a increases? As b increases?

(d) Find a formula for the x-coordinates of the critical point(s) of f in terms of a and b.

f(x) = √(b - (x - a)2)

Reference no: EM131604245

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