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

Dec 21, 2016

$\textcolor{g r e e n}{\text{one}}$

#### Explanation:

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

$f \left(x\right) = - {x}^{2} - 1$
is the formula for a parabola with a vertex at $\left(0 , - 1\right)$;

$f \left(x\right)$ increases (since the coefficient of ${x}^{2}$ is negative) up to the vertex point and then "turns" and decreases.