Question
Graph the function f(x) = 2x² - 2x. What is the y-value that corresponds to the x-value of -1?
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 \( x = -1 \) into the function.
\[
f(-1) = 2(-1)^2 - 2(-1)
\]
Calculating each part:
1. Calculate \((-1)^2\):
\[
(-1)^2 = 1
\]
2. Now plug this into the function:
\[
f(-1) = 2(1) - 2(-1)
\]
3. Simplify further:
\[
f(-1) = 2 - (-2) = 2 + 2 = 4
\]
So, the y-value that corresponds to the x-value of -1 is \( 4 \).
Thus, \( f(-1) = 4 \).
\[
f(-1) = 2(-1)^2 - 2(-1)
\]
Calculating each part:
1. Calculate \((-1)^2\):
\[
(-1)^2 = 1
\]
2. Now plug this into the function:
\[
f(-1) = 2(1) - 2(-1)
\]
3. Simplify further:
\[
f(-1) = 2 - (-2) = 2 + 2 = 4
\]
So, the y-value that corresponds to the x-value of -1 is \( 4 \).
Thus, \( f(-1) = 4 \).
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