Find Energy Levels for Harmonic Oscillator w/ Stretch-Only Spring

[catsarebad]

for harmonic oscillator, V(x) = 1/2*m*w^2*x^2. here, the spring can be stretch or compress.

however, is if the spring can only stretch such that V(x) is infinity for x<0, then find energy level for this setup.

I don't understand the part about spring only being able to stretch. what does that turn equation into? i dunno, any hints?

 

[Matterwave]

Just truncate the left half of V(x) and instead of half a parabola there, you have a straight cliff. This sounds like a homework question by the way, and those belong in the homework forums.