# How do you write the vertex form equation of the parabola #y=x^2+2x-1#?

##### 1 Answer

#### Explanation:

Step 1:

Send the constant(-1) to the left by doing,

Step 2:

Identify the coefficient of

In this case it's

Step 3:

Divide the cofficient by 2.

You get : 2/2 = color(red)1

Step 4:

Add

Step 5:

We see that

Step 6:

Send

And there you've got the vertex form of the equation of a parabola.

Note:

They call it vertex form simply because it gives us the cordinates of the vertex of the parabola that is being represented.

If we write it like this :

then the vertex can be read as