y = x2 - 6x - 8 Complete the square in the quadratic equation in order to write the equation in vertex form.

y = (x-3) ^2 - 17

Step-by-step explanation:

To complete the square, take the middle term bx and divide it in two. Then take the square.

x^2 - 6x - 8 has bx = - 6x. Take - 6/2 = - 3. Square - 3^2 = 9.

Now to finish completing the square add 9 and subtract 9 from one side.

y = x^2 - 6x - 8

y = (x^2 - 6x + 9) - 9 - 8

y = (x-3) ^2 - 17