Explain the steps necessary to convert a quadratic function in standard form to vertex form.

Sample Response: A quadratic function in standard form is converted to vertex form by completing the square. The first two terms are used to create a perfect square trinomial after a zero pair is added. The zero pair is found by taking half of the x-term coefficient and squaring it. The original constant term and the negative value of the zero pair are then combined.

T o convert a quadratic from y = ax 2 + bx + c form to vertex form, y = a (x - h) 2 + k, you use the process of completing the square. Let's see an example. Convert y = 2x 2 - 4x + 5 into vertex form, and state the vertex.