To find \( f(-6) \) from the function \( f(x) = -2x^2 + 2 \), we will follow these steps:
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Substitute \(-6\) into the function \( f(x) \):
\[ f(-6) = -2(-6)^2 + 2 \]
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Calculate \((-6)^2\):
\[ (-6)^2 = 36 \]
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Substitute \(36\) back into the function:
\[ f(-6) = -2 \cdot 36 + 2 \]
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Calculate \(-2 \cdot 36\):
\[ -2 \cdot 36 = -72 \]
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Add \(2\):
\[ f(-6) = -72 + 2 = -70 \]
So, \( f(-6) = -70 \).
Thus, the final answer is:
\[ f(-6) = -70 \]