Question

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

Answer 1

Answer: A on Edge 2020

Explanation:

Answer 2

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

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`

`-(b)/(2a)=-(-2)/(2(1))=1`

Add and Subtract
`(-(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`.