Question

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 that corresponds to the x-value of -1 for the function \( f(x) = 2x^2 - 2x \), we can substitute -1 into the function.

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

Calculating step-by-step:

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

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

3. Calculate:
\[
f(-1) = 2 - (-2)
\]
\[
f(-1) = 2 + 2 = 4
\]

Thus, the y-value that corresponds to the x-value of -1 is **4**.

To summarize:
\[
f(-1) = 4
\]