What are the steps to converting a function from standard form to vertex form?

1) Identify the values of a, b and c in the function

2) Do

3) Then and

4) Once found the values of h and k, write the equation as:

Step-by-step explanation:

The standard form of a quadratic function is:

Where a, b and c are the coefficients of the monomials, and they are real numbers. By definition, the vertex of this function is:

Then, the vertex form of a quadratic function is:

Where the point (h, k) represents the vertex of the function.

The steps to convert a quadratic function to the standard form the vertex form is:

1) Identify the values of a, b and c in the function

2) Do

3) Then and

4) Once found the values of h and k, write the equation as: