To find the missing value in the point \((2, __)\) on the equation \(y = 9x^2 + 2\), we need to substitute \(x = 2\) into the equation.
Let's do that step by step:
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Substitute \(x = 2\) into the equation: \[ y = 9(2^2) + 2 \]
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Calculate \(2^2\): \[ 2^2 = 4 \]
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Multiply by 9: \[ 9 \times 4 = 36 \]
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Add 2: \[ 36 + 2 = 38 \]
So, when \(x = 2\), \(y = 38\).
Therefore, the missing value is \(38\), making the point \((2, 38)\).