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

@nightowl

Answer 2

Please expres exponentiation properly:

Correct: f(x) = 4 + x^2 – 2x
Vague: f(x) = 4 + x2 – 2x

Answer 3

To do this problem, you need to re-write the given equation in the vertex form by "completing the square." Notice that f(x)=4+x^2-2x can be rewritten as

f(x)=x^2 - 2x - 4

Answer 4

Re-write x^2 - 3x as a perfect square.. If neessary, read up on "completing the square."