Question

A technique used to rewrite a quadratic function in standard form to vertex form is

Answer 1

completing the square.

Explanation:

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Answer 2

The vertex form of a quadratic function is given by

`f(x)=a(x-h)^(2)+k,`
where (h,k) is the vertex of parabola. In some literatures, the standard form of the quadratic equation is written as

`f(x)=a x^(2) +bx+c`
Therefore, in order to avoid the confusion, the first equation is taken as a vertex form. When the standard form is converted into the vertex form, the process is called completing the square.