# How do you find the vertex of a parabola #y = x^2 + 3#?

##### 1 Answer

Jul 10, 2015

the vertex of

#### Explanation:

Let

Let

A parabola always admit a minimum or a maximum (= his vertex).

We have a formula to find easily the abscissa of a vertex of a parabola :

Abscissa of vertex of

Let

Then, the vertex of

And

Therefore the vertex of

*Because #a>0# here, the vertex is a minimum.*

graph{x^2+3 [-5, 5, -0.34, 4.66]}