The IRS taxes you on total income, so adding a W-2 will increase your total income and tax rate, as Tax Champ Mike9241 says.
Unless you used the Multiple Jobs Worksheet when filling out W-4 withholding certificates, each job will only take out enough tax to cover that job. When added together, the total tax return may be higher.
If your refund is more than the tax owed from the extra W-2, then you still would have gotten a refund if you filed everything together.
If the amount you owe is more than your refund, it means you would have owed tax anyway.
You can use the free TurboTax W-4 calculator to file new W-4s for each job. It will tell you what numbers to put on the form.
The deadline for filing an amended return and paying the tax without penalty is April 18.
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