# How do you find the vertex and axis of symmetry, and then graph the parabola given by: #y = x^2 - 4x + 1#?

##### 1 Answer

May 20, 2018

#### Explanation:

Standard form is:

your equations is already in standard form.

The formula for the axis of symmetry is:

Formula for the vertex point

what is f(aos)? that means you put the value you found for the aos back into the function as x and solve for y:

so the vertex is:

Finally to help you graph the y-intercept is

y-int = 1

also the x-intercepts are the roots if you factor the polynomial, you would need to use the quadratic formula to factor this one and the roots will be:

and