# What is the x-coordinate of the vertex #y=x^2+2x+1#?

##### 1 Answer

It is always helpful to know how the graph of a function

(a) stretching along Y-axis by a factor of

(b) shifting to the left by

(c) shifting upwards by

To find a vertex of a parabola using this methodology, it is sufficient to transform the equation into a full square form that looks like

Then we can say that this parabola is the result of a shift upwards by

That last one is a result of shifting to the left by

Since the parabola

Then the parabola

Let's apply it to our case:

Hence, the vertex if this parabola is at

graph{x^2+2x+1 [-10, 10, -5, 5]}