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

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Answer 1 · 2016-12-21T12:04:08

$color(green)("one")$

(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.

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