Problem 58 of 7
Complete the square for parabola equation x=y^2+4y+1.
Using a hint is okay. It just tells the trainer to give you a little more review.
Hidden until you reveal it.
isolate one squared variable and identify vertex/orientation.
Hidden until you reveal it.
Isolate one squared variable and identify vertex and orientation.
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Your answer is equivalent to the expected form.
Walkthrough
Full solution stays hidden until you ask for it.
1. Group the squared variable terms.
2. Complete the square with coefficient handled correctly.
3. Rewrite in vertex form and read orientation.
Use the worked steps, then substitute the final answer back into the original relationship to confirm it satisfies the prompt.
Completing square on both variables for a parabola with only one squared variable.