Part-year residents are only taxed on income earned while living and/or working in a state. In the case of stock sales, the sale date determines the state.
If you sold stock for a $1,000 loss while living in California, then the loss would deductible on your part-year California income tax return.
You $2,000 gain is free from state taxes since you sold the stock while living in Washington.
The California and Washington sales are separate for state taxes. On federal (which covers the whole year) you would add them together, giving you a $1,000 gain ($2,000 - $1,000).
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