which function in vertex form is equivalent to f(x) = 4 + x² - 2x?\n○ f(x) = (x - 1)² + 3\n○ f(x) = (x - 1)²…

which function in vertex form is equivalent to f(x) = 4 + x² - 2x?\n○ f(x) = (x - 1)² + 3\n○ f(x) = (x - 1)² + 5\n○ f(x) = (x + 1)² + 3\n○ f(x) = (x + 1)² + 5

which function in vertex form is equivalent to f(x) = 4 + x² - 2x?\n○ f(x) = (x - 1)² + 3\n○ f(x) = (x - 1)² + 5\n○ f(x) = (x + 1)² + 3\n○ f(x) = (x + 1)² + 5

Answer

Answer:

A. $f(x)=(x - 1)^2+3$

Explanation:

Step1: Reorganizar el polinomio

$f(x)=x^{2}-2x + 4$

Step2: Completar el cuadrado

Para $x^{2}-2x$, el término que falta para completar el cuadrado es $(\frac{-2}{2})^2=1$. $x^{2}-2x=(x - 1)^2-1$

Step3: Sustituir en la función original

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