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

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Step-by-step explanation:

first, find the axis of symmetry which is -b/2a.

then, find f(-b/2a)

then, use the vertex in vertex form, which is a(x-h)^2 + k, with the vertext being (h,k) and a being th eleading coefficeint

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.

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