How do you find the vertex of #f(x)=x^2-1#?
Your function is a quadratic that is represented by a parabola. The vertex represents a point where the curve neither goes up nor down, i.e., where the slope is zero. This means that at that particular point the derivative will be zero; so:
This derivative is equal to zero only when
Your vertex will then have coordinates:
substitute in your function to get: