Use completing the square to change the form of the function. f(x) = x^2 + 4x + 5

Answer 1

f(x) = x^2 + 4x + 5 +4-4 <--- completes the square: B=4 ---> (B/2)^2 = 4

= x^2 + 4x +4 + 5-4

= (x+2)(x+2) + 1

= (x+2)^2 + 1

vertex (-2,1)