How do you find the vertex of a parabola # y=y=[x]^2-5#?
you have to derivate and equal to zero for getting the general equation
I don't know in which grade you are so there will be two parts in the explanation.
Deduction of the formula:
If you know how to derivate and find max and mins of functions then you have to deduct the formula. If not, jump to the next step.
For doing the deduction i'll use you specific case, it's easy to deduct using
The derivate of
In the general case
Just using the formula (kids way)
Somehow it's posible to deductthat the vertex of a parabola is placed at
in your equation
using the formula
Now you need to know in which y? you have to replace x in y by doing
Now you know that the vertex is placed at (0,-5)