Question

Which of the following is the vertex of the quadratic equation x^2-6x+9

Answer 1

Do you know how to complete the square?

Answer 2

no

Answer 3

First take -6 (the second number) and cut it in half to get -3

Then square -3 to get 9


Because doing this gives us that last number, this means that x^2-6x+9 is a perfect square already

Answer 4

This means that x^2-6x+9 factors to (x-3)^2

Answer 5

The last step is to realize that (x-3)^2 is in the form (x-h)^2+k

So because (h,k) = (3,0), we can say that the vertex is (3,0)