# How do you find the vertex of a parabola # y=y=[x]^2-5#?

##### 1 Answer

you have to derivate and equal to zero for getting the general equation

#### Explanation:

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 **HAS** to be 0 either if it is a max or a min, you are searching for a vertex so you don't care about it being a max or a min.

The derivate of **the vertex is #(0,-5)#.**

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)