Question

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

Answer 1

looks like \(y=|x|\) shifted to the left 4 units

Answer 2

but y it shifts?

Answer 3

why does it shift?

Answer 4

you can think of it this way
for \(y=|x|\) you know it is only zero if \(x=0\) and that is where it sits on the \(x\) axis
for \(y=|x+4|\) it is zero at \(x=-4\) so it is shifted 4 units left