Duplicate Question
The question on this page has been marked as a duplicate question.
Original Question
Graph the function f(x) = 2x^2 - 2x. What is the y value that corresponds to the x-value of -1?Question
Graph the function f (x) = 2x^2 - 2x. What is the y-value that corresponds to the x-value of -1?
Answers
There are no human answers yet.
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 can substitute \( x = -1 \) into the function.
\[
f(-1) = 2(-1)^2 - 2(-1)
\]
Calculating step by step:
1. Calculate \( (-1)^2 \):
\[
(-1)^2 = 1
\]
2. Substitute into the function:
\[
f(-1) = 2 \cdot 1 - 2 \cdot (-1)
\]
3. Calculate \( 2 \cdot 1 \):
\[
2 \cdot 1 = 2
\]
4. Calculate \( 2 \cdot (-1) \):
\[
2 \cdot (-1) = -2
\]
5. Now substitute these values back into the equation:
\[
f(-1) = 2 - (-2)
\]
This simplifies to:
\[
f(-1) = 2 + 2 = 4
\]
Therefore, the y-value that corresponds to the x-value of -1 is \( f(-1) = 4 \).
\[
f(-1) = 2(-1)^2 - 2(-1)
\]
Calculating step by step:
1. Calculate \( (-1)^2 \):
\[
(-1)^2 = 1
\]
2. Substitute into the function:
\[
f(-1) = 2 \cdot 1 - 2 \cdot (-1)
\]
3. Calculate \( 2 \cdot 1 \):
\[
2 \cdot 1 = 2
\]
4. Calculate \( 2 \cdot (-1) \):
\[
2 \cdot (-1) = -2
\]
5. Now substitute these values back into the equation:
\[
f(-1) = 2 - (-2)
\]
This simplifies to:
\[
f(-1) = 2 + 2 = 4
\]
Therefore, the y-value that corresponds to the x-value of -1 is \( f(-1) = 4 \).
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.