Question

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

Answer 1

Answer:

The vertex form of the function is $f(x)=(x-1)^2+3$.

Step-by-step explanation:

The given function is

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

The vertex form is

$f(x)=(x-h)^2+k$

Rewrite the given function

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

$-\frac{b}{2a}=-\frac{-2}{2(1)}=1$

Add and Subtract $(-\frac{b}{2a})^2$.

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

Use $(a-b)^2=a^2-2ab+b^2$

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

Therefore the vertex form of the function is $f(x)=(x-1)^2+3$.

Answer 2

Answer: A on Edge 2020

Step-by-step explanation: