Question

What is the graph of the absolute value equation?
y = |x – 5| – 4

Answer 1

(5,-4)

Answer 2

How does that work?
I can't figure it out y = –2|x| + 5
I know that y = |x – 5| – 4 |-5| becomes positive so that is 5,-4 but what about y = –2|x| + 5

Answer 3

to graph y = |x – 5| – 4, you

step 1) start with the graph of y = |x|

step 2) shift the graph in step 1) five units to the right

step 3) then you shift 4 units down

Answer 4

y = –2|x| + 5

is the same as

y = –2|x - 0| + 5