Question

express f(x)= x^2-6x+14 in the form of f(x)= (x-h)^2=k

Answer 1

express 14 as a sum of 9 and 5 and i guess it should be (x-h)^2-k

Answer 2

I know what the actual answer is but I do not get how to get it. Is it like completing the square?

Answer 3

you obtain an expressin of the form x^2-2xb+b^2 which can be written as (x-b)^2

Answer 4

f(x) = x^2 - 6x + 14.

You can find a perfect square in by taking (b/2)^2 = (-6/2)^2 = 9

f(x) = x^2 - 6x + (9 + 5) = (x-3)^2 + 5

(x-3)^2 = -5

Answer 5

x^2-2*3*x+9+5=(x-3)^2+5

Answer 6

Thank you!