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

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 \(-1\) for \(x\) in the function.

First, substitute \(x = -1\):

\[ f(-1) = 2(-1)^2 - 2(-1) \]

Now, calculate each term:

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

2. Multiply by \(2\): \[ 2 \cdot 1 = 2 \]

3. Compute \(-2(-1)\): \[ -2 \cdot -1 = 2 \]

Now, add the results together:

\[ f(-1) = 2 + 2 = 4 \]

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