Question

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

Answer 1

`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.