Problem 48 of 7
Complete the square for hyperbola equation x^2 - y^2 - 2x + 4y = -4.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
group terms, manage signs, identify center/transverse axis.
Hidden until you reveal it.
Group terms, manage signs, and identify center and transverse axis.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Group x and y terms with their signs.
2. Complete the square while preserving coefficients and signs.
3. Divide to make right side 1.
4. Use the positive term to identify opening direction.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Losing the negative sign on one squared group.