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.
The standard form of a quadratic function is y = ax 2 + bx + c. where a, b and c are real numbers, and a ≠ 0. Using Vertex Form to Derive Standard Form. Write the vertex form of a quadratic function. y = a(x - h) 2 + k. Square the binomial. y = a(x 2 - 2xh + h 2) + k. y = ax 2 - 2ahx + ah 2 + k
