Graph the function f(x)=2x^2−2x . What is the y-value that corresponds to the x-value of −1 ?(1 point)

Answer 1

To find the y-value corresponding to the x-value of -1 for the function \( f(x) = 2x^2 - 2x \), we can substitute -1 into the function.

1. Substitute \( x = -1 \) into the function: \[ f(-1) = 2(-1)^2 - 2(-1) \]

2. Calculate \( (-1)^2 \): \[ (-1)^2 = 1 \]

3. Substitute this value back into the equation: \[ f(-1) = 2(1) - 2(-1) \] \[ f(-1) = 2 - (-2) \] \[ f(-1) = 2 + 2 \] \[ f(-1) = 4 \]

Thus, the y-value that corresponds to the x-value of -1 is \( 4 \).