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

shift 1 unit left and 1 unit down

shift 1 unit left and 1 unit up

shift 1 unit right and 1 unit down

shift 1 unit right and 1 unit up

2nd Option is correct.

Step-by-step explanation:

Parent function: y = |x|

After translation Obtained Function: y = | x + 1 | + 1

We need to find translation done to get 2nd function.

We know that if we have,

Parental function: y = f (x)

Function we get y = f (x - a) + b

Translation done here, a unit shifted right and b unit shifted upward.

So,

y = | x - (-1) | + 1

Translation done here is 1 unit left because value of a = - 1 and 1 unit upward because 1 is added to f (x).

Therefore, 2nd Option is correct.

You would shift one unit left and one unit up using the formula y=mx+b the b is the y coordinate and the number added or subtracted from the x is the coordinate