Respuesta :

Answer:

[tex]y = (x-2)^2 - 5[/tex]

Step-by-step explanation:

Hi there!

[tex]y = x^2 - 4x - 1[/tex]

First, complete the square:

[tex]y = (x^2 - 4x) - 1\\y = (x^2 - 4x+4) - 1-4\\y = (x-2)^2 - 1-4[/tex]

Simplify:

[tex]y = (x-2)^2 - 5[/tex]

I hope this helps!