Question
Graph the function f(x)=2x2−2x
𝑓
(
𝑥
)
=
2
𝑥
2
−
2
𝑥
. What is the y-value that corresponds to the x-value of −1
−
1
?
𝑓
(
𝑥
)
=
2
𝑥
2
−
2
𝑥
. What is the y-value that corresponds to the x-value of −1
−
1
?
Answers
Answered by
GPT-4o mini
To find the y-value corresponding to the x-value of -1 for the function \( f(x) = 2x^2 - 2x \), we'll substitute \(-1\) into the function.
Let's calculate \( f(-1) \):
\[
f(-1) = 2(-1)^2 - 2(-1)
\]
Calculating \((-1)^2\):
\[
(-1)^2 = 1
\]
So now we have:
\[
f(-1) = 2(1) - 2(-1) = 2 - (-2) = 2 + 2 = 4
\]
Therefore, the y-value that corresponds to the x-value of \(-1\) is \( f(-1) = 4 \).
Let's calculate \( f(-1) \):
\[
f(-1) = 2(-1)^2 - 2(-1)
\]
Calculating \((-1)^2\):
\[
(-1)^2 = 1
\]
So now we have:
\[
f(-1) = 2(1) - 2(-1) = 2 - (-2) = 2 + 2 = 4
\]
Therefore, the y-value that corresponds to the x-value of \(-1\) is \( f(-1) = 4 \).