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.
So we calculate:
\[ f(-1) = 2(-1)^2 - 2(-1) \]
Calculating each term:
\[ = 2(1) + 2 \] \[ = 2 + 2 \] \[ = 4 \]
Therefore, the y-value that corresponds to the x-value of -1 is \( 4 \).