Respuesta :

translateion up c units, add c to whole function
translation left c units, add c to every x

from
y=|x| to y=|x+1|-2
1 was added to every x and 2 was subtracted from whole function
it was moved 1 unit to left and 2 down

Answer:

[tex]1[/tex] unit to the left and [tex]2[/tex] units down

Step-by-step explanation:

we have

[tex]y=\left|x\right|[/tex]

The vertex of the function is the point [tex](0,0)[/tex]

[tex]y=\left|x+1\right|-2[/tex]

The vertex of the function is the point [tex](-1,-2)[/tex]

therefore

The rule of the translation is

[tex](0,0)-------> (-1,-2)[/tex]

[tex](x,y)-------> (x-1,y-2)[/tex]

That means

The translation is [tex]1[/tex] unit to the left and [tex]2[/tex] units down