How do you find the AOS and vertex of a quadratic?

The standard form of a quadratic is y = ax^2 + bx + c.

In this equation, the formula for the axis of symmetry is x = .You know that the center will always be along that line, and you've got the x-coordinate already, so just plug that in and get the y-coordinate out for the center.

The vertex form of a quadratic is also helpful, y = a(x-h)^2 + k.

In this equation, the formula for the center is (h, k), and the axis of symmetry is x = h! That's even easier!