Question

Which of the following describes how to translate the graph of y = |x| to obtain the graph of y = |x + 1| - 2?

Answer 1

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 2

`1` unit to the left and
`2` units down

Explanation:

we have

`y=\left|x\right|`

The vertex of the function is the point
`(0,0)`

`y=\left|x+1\right|-2`

The vertex of the function is the point
`(-1,-2)`

therefore

The rule of the translation is

`(0,0)-------> (-1,-2)`

`(x,y)-------> (x-1,y-2)`

That means

The translation is
`1` unit to the left and
`2` units down