What is y=-x^2-14x-59 in vertex form

The equation of a parabola given

We have to write it in vertex form.

The vertex form of a parabola is

So to write it in vertex form we have to make the right side as a perfect square by using completing the square method.

Here 14x given. By dividing 14 by 2 we will get 7. So we have to add and subtract to the right side.

We know that, , so .

So we have got the required vertex form of the parabola.

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