Because you lived in CA, they want to tax your income earned while living there. You have completed your AZ income tax return. For the CA portion, you would enter the 2 months of income earned in AZ and the tax paid on that income. That gives you a credit to the state of CA.
For example:
Say you earn $3,000 / month.
2 months in CA is $6,000 taxable to CA
AZ would be $3k x 8 mo in AZ = $24k total
AZ tax on total, pretend is $1,000
CA income / total AZ income = 6 / 24 = 25%
AZ tax x CA % = $1,000 x 25% = $250 tax paid to AZ for CA credit
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