Question

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

Answer 1

Answer:

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

Step-by-step 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

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