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Find constant a.
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Given that g(4) = 8
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Substitute x = 4
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g(4) = a(4)² + 24 = 8
16a + 24 = 8
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Take away 24 from both sides
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16a = 8 - 24
16a = -16
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Divide by 16 on both sides
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a = -1
Now that we know that a = -1, plug it back to the equation.
g(x) = -x² + 24
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Find g(-4)
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g(-4) = - (-4)² + 24
g(-4) = -16 + 24
g(-4) = 8
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Answer: 8
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