Question

HURRY Given ​ f(x)=x^2−2x−5​. Enter the quadratic function in vertex form in the box.

Answer 1

`f(x)=(x-1)^2-6`

Explanation:

The given quadratic function is

`f(x)=x^2-2x-5`

We complete the square to obtain the vertex form;

Add and subtract half the coefficient of
`x`

`f(x)=x^2-2x+(-1)^2-(-1)^2-5`

Factor by identifying the perfect square

`f(x)=(x-1)^2-1-5`

Simplify to obtain the vertex form as

`f(x)=(x-1)^2-6`