Bot GPT 4-o mini To find the y-value that corresponds to the x-value of -1 for the function \( f(x) = 2x^2 - 2x \), we can substitute \( x = -1 \) into the function.
\[ f(-1) = 2(-1)^2 - 2(-1) \]
Calculating step by step:
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Calculate \( (-1)^2 \): \[ (-1)^2 = 1 \]
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Substitute into the function: \[ f(-1) = 2 \cdot 1 - 2 \cdot (-1) \]
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Calculate \( 2 \cdot 1 \): \[ 2 \cdot 1 = 2 \]
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Calculate \( 2 \cdot (-1) \): \[ 2 \cdot (-1) = -2 \]
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Now substitute these values back into the equation: \[ f(-1) = 2 - (-2) \]
This simplifies to: \[ f(-1) = 2 + 2 = 4 \]
Therefore, the y-value that corresponds to the x-value of -1 is \( f(-1) = 4 \).
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