Answer:
[tex]y=(x-8)^{2}+2[/tex]
Step-by-step explanation:
When calculating the quadratic function in vertex form, you just have to create a quadratic binomial with the values in the function, and then you add or withdraw from the equation what you need to complete the quadratic binomial.
[tex]y = x^{2} - 16x + 66[/tex]
So you now know that to create a quadratic binomial, you have to divide the B by 2, and then square it, remember that "B" is the numeric value on the second term of the equation, in this case is -16, so divided by 2 it would be -8 and squared it would be 64.
[tex]y = x^{2} - 16x + 66\\y=x^{2} - 16x + 64 +2\\y=(x-8)^{2}+2[/tex]
So now you know that the quadratic function in vertex form is:
[tex]y=(x-8)^{2}+2[/tex]
