Question

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


shift right 1 and down 2
shift left 1 and down 2
shift right 1 and up 2

Answer 1

if you plot y = |x| you will get a "V"
with the point at 0,0

Answer 2

if you can plot
y = |x + 1| - 2

you can see where the "vertex" (the point in the V) is located.
look at just the |x+1| part. this will always be 0 or bigger (that is what absolute value does)
it is at 0 when x=-1. at x=0 it is 1, and at x= -2 it is also 1
then subtract the 2
you get

Answer 3

how far over and down did the V move ?