Compare y=1/2 |x+6| -2 with the parent function y=|x|. Without graphing, what are the vertex, axis of symmetry and transformations of the parent function?

Question

zzr0ck3r · Answer

do you know what |x| looks like?

zzr0ck3r · Answer

where is the axis of symmetry for y=|x|?

anonymous · Answer

Hmm.... Wouldn't it just be in the center? I'm confused.

anonymous · Answer

I know that |x| is pretty much just 1x.

zzr0ck3r · Answer

the change on the inside will move it the opposite direction left and right.
so since we have a +6 on the inside it will move it 6 to the left, so the vertex went from 
(0,0) to (-6,0), does this make sense?

anonymous · Answer

Yes, that makes sense.

zzr0ck3r · Answer

ok now the -2 on the outside will move us down 2
so now our vertex is (-6,-2)

zzr0ck3r · Answer

the x value here is also the axis of symmetry
x=-6

zzr0ck3r · Answer

the 1/2 will simply flatten it.

zzr0ck3r · Answer

think about 1/2 |x| you put in 2 you get out 1
where with |x| you put in 2 and get out 2

anonymous · Answer

Ok, I got that part.

zzr0ck3r · Answer

thats everything

anonymous · Answer

Easier than I thought, thank you a bunch!

zzr0ck3r · Answer

np