Using FFT to compute DFT of a polynomial

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i currently studying about FFT and DFT and we were given simple question:
Use the recursive FFT to compute the DFT of this polynomial of '3' degree: $$-1\:+\:4x\:+\:3x^2$$.

So, i go to this algorithm:
enter image description here

But i don't understand what happens in line 11.
What is $y_k^0$? and $y_k^1$?

Can someone guide me in the intermediate steps? i get stuck when i get that $y^{\left[0\right]}\:=\:\left(-1\right)$ and that $y^{\left[1\right]}\:=\:\left(3\right)$

tnx so much!