Which statement best describes a method that can be used to sketch the graph.

y = |x + 1|
a.
translate the graph of y = |x| one unit up.
b.
translate the graph of y = |x| one unit down.
c.
translate the graph of y = |x| one unit left.
d.
translate the graph of y = |x| one unit right.

C

Step-by-step explanation:

Function transformations are easy to do when you remember four rules:

Here y= |x+1| so this would be a translation of one unit to the left. Within the function addition moves it to the left and subtraction moves it to the left.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)