Question

Graph the function f(x)=2x2−2x . What is the y-value that corresponds to the x-value of −1 ?(1 point)
Check answerRemaining Attempts : 3

Answer 1

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

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

Calculating this step by step:

1. Calculate \( (-1)^2 \), which is \( 1 \).
2. Multiply by \( 2 \): \( 2 \times 1 = 2 \).
3. Calculate \( -2(-1) \), which is \( 2 \).
4. Add the two results together: \( 2 + 2 = 4 \).

Thus,

\[
f(-1) = 4
\]

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