Match the equation on the left to its equivalent on the right. (4 points)

Question

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y = x2−6x+16
y=(x+4)2−5
y = x2 − 1x −20
y=(x+8)(x+11)

Answer 1

To match the equations correctly, we can identify the equivalent forms through factoring or completing the square. Here are the matches:

1. y = x² − 6x + 16 is equivalent to y = (x + 4)² − 5. (This can be verified by completing the square.)

2. y = x² − 1x − 20 is equivalent to y = (x + 8)(x + 11). (This can be verified by factoring the quadratic.)

So the matches are:

• y = x² − 6x + 16 ⇔ y = (x + 4)² − 5

• y = x² − 1x − 20 ⇔ y = (x + 8)(x + 11)