Question

How do you write the quadratic in vertex form given `x^2-7x + 9`?

Answer 1

`(-b/(2a)) = 7/2`

`f(-b/(2a)) = 49/4 - 49/2 + 9 = -49/4 + 9 = -13/4`

Factored form: `f(x) = (x - 7/2)^2 - 13/4`

Check. Develop `f(x) = x^2 - 7x + 49/4 - 13/4 =x^2 - 7x + 9`. Correct