Question

Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x?

f(x) = (x – 1)2 + 3
f(x) = (x – 1)2 + 5
f(x) = (x + 1)2 + 3
f(x) = (x + 1)2 + 5

Answer 1

f(x) = x^2 - 2x + 4 = (x - 1)^2 - 1 + 4 = (x - 1)^2 + 3

So the correct choice is f(x) = (x – 1)² + 3.