<h3>Answer: Choice A) -16, 0, 0, 144</h3>
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Work Shown:
plug in x = 1
y = x^2 - 8x - 9
y = (1)^2 - 8(1) - 9
y = 1 - 8(1) - 9
y = 1 - 8 - 9
y = -16
So x = 1 pairs up with y = -16
We can stop here since choice A is the only one that has -16.
So choice A must be the answer.
For the sake of completeness, let's plug in the other x values.
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plug in x = -1
y = x^2 - 8x - 9
y = (-1)^2 - 8(-1) - 9
y = 1 - 8(-1) - 9
y = 1 + 8 - 9
y = 0
x = -1 pairs up with y = 0
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plug in x = 9
y = x^2 - 8x - 9
y = (9)^2 - 8(9) - 9
y = 81 - 8(9) - 9
y = 81 - 72 - 9
y = 0
x = 9 pairs up with y = 0
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plug in x = -9
y = x^2 - 8x - 9
y = (-9)^2 - 8(-9) - 9
y = 81 - 8(-9) - 9
y = 81 + 72 - 9
y = 144
x = -9 pairs up with y = 144
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When you plug in x = 1, -1, 9 and -9, then the y values are y = -16, 0, 0 and 144 in that exact order.
