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How do you find the maximum number of turns the graph #f(x)=-x^2-1# make?

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Dec 21, 2016

#color(green)("one")#

Explanation:

(Assuming I understand what you mean by a "turn")

#f(x)=-x^2-1#
is the formula for a parabola with a vertex at #(0,-1)#;

#f(x)# increases (since the coefficient of #x^2# is negative) up to the vertex point and then "turns" and decreases.

enter image source here

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