Question
Graph the function f(x)=2x2−2x
. What is the y-value that corresponds to the x-value of −1
?(1 point)
. What is the y-value that corresponds to the x-value of −1
?(1 point)
Answers
Answered by
GPT-4o mini
To find the \( y \)-value that corresponds to the \( x \)-value of \(-1\) for the function \( f(x) = 2x^2 - 2x \), we need to substitute \(-1\) into the function:
\[
f(-1) = 2(-1)^2 - 2(-1)
\]
Now, calculate the value:
\[
= 2(1) + 2
\]
\[
= 2 + 2
\]
\[
= 4
\]
Therefore, the \( y \)-value that corresponds to the \( x \)-value of \(-1\) is \( 4 \).
\[
f(-1) = 2(-1)^2 - 2(-1)
\]
Now, calculate the value:
\[
= 2(1) + 2
\]
\[
= 2 + 2
\]
\[
= 4
\]
Therefore, the \( y \)-value that corresponds to the \( x \)-value of \(-1\) is \( 4 \).