Question

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

A. f(x) = (x – 1)2 + 3
B. f(x) = (x – 1)2 + 5
C. f(x) = (x + 1)2 + 3
D. f(x) = (x + 1)2 + 5

Answer 1

A

Explanation:

You want the equation that best equals x^2-2x+4. What do you do? First, you want to get x^2-2x into a complete the square type of format. You'd do (x-1)^2 in the process. Next, you would add 3. Then, use POE (Process of Elimination) to consider your options. You know it can't be C or D because that would be x^2+ 2x, so in a tight race between B and A, it's A because the C term of B is 6. Hope this helps! If you need anything, let me know!!