Question

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

Answer 1

To find the y-value that corresponds to the x-value of -1 for the function \( f(x) = 2x^2 - 2x \), we will substitute \( x = -1 \) into the function:

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

Calculating this step by step:

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

2. Now multiply by 2:
\[
2 \times 1 = 2
\]

3. Next, compute \( -2(-1) \):
\[
-2 \times -1 = 2
\]

4. Combine both results:
\[
f(-1) = 2 + 2 = 4
\]

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

### Summary
The y-value at \( x = -1 \) is \( 4 \).