# How do find the vertex and axis of symmetry for a quadratic equation #y = x^2 - 4x + 1#?

##### 2 Answers

Jun 8, 2015

The vertex form for a quadratic equation is

We can convert the given equation:

So the vertex is at

This is the equation of a parabola in normal position (vertical axis of symmetry through the vertex), so

the axis of symmetry is

Jun 8, 2015

You can use the 'complete the square' method.

You're looking for

Where

So we rewrite as:

Now the axis of symmetry is

(remember to reverse the sign with the

And the apex is

graph{x^2-4x+1 [-7.25, 12.75, -4.8, 5.2]}