To match the equations correctly, we can identify the equivalent forms through factoring or completing the square. Here are the matches:
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y = x² − 6x + 16 is equivalent to y = (x + 4)² − 5. (This can be verified by completing the square.)
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y = x² − 1x − 20 is equivalent to y = (x + 8)(x + 11). (This can be verified by factoring the quadratic.)
So the matches are:
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y = x² − 6x + 16 ⇔ y = (x + 4)² − 5
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y = x² − 1x − 20 ⇔ y = (x + 8)(x + 11)