What is the vertex of the quadratic function f(x) =x2−5x+ 7

Question

What is the vertex of the quadratic function f(x) =x2−5x+ 7

Answer 1

x^2 -5x + 7, complete the square, add and subtract the square of 5/2

= x^2 -5x + 25/4 + 7 - 25/4

= (x-5/2)^2 +3/4 vertex is (5/2, 3/4)

general form is a(x-h)^2 + k where (h,k) is the vertex