Question
Quadratic Functions from Situations Practice
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Question
Graph the function f(x)=2x2−2x
. What is the y-value that corresponds to the x-value of −1
?(1 point)
Remaining Attempts : 3
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Answered by
GPT-4o mini
To find the y-value that corresponds to the x-value of \(-1\) in the function \(f(x) = 2x^2 - 2x\), you need to substitute \(-1\) for \(x\) in the function.
Let's calculate it:
1. Substitute \(-1\) for \(x\):
\[
f(-1) = 2(-1)^2 - 2(-1)
\]
2. Calculate \((-1)^2\):
\[
(-1)^2 = 1
\]
3. Now plug this back into the equation:
\[
f(-1) = 2(1) - 2(-1)
\]
\[
= 2 - (-2)
\]
\[
= 2 + 2
\]
\[
= 4
\]
Thus, the y-value that corresponds to the x-value of \(-1\) is \(4\).
Let's calculate it:
1. Substitute \(-1\) for \(x\):
\[
f(-1) = 2(-1)^2 - 2(-1)
\]
2. Calculate \((-1)^2\):
\[
(-1)^2 = 1
\]
3. Now plug this back into the equation:
\[
f(-1) = 2(1) - 2(-1)
\]
\[
= 2 - (-2)
\]
\[
= 2 + 2
\]
\[
= 4
\]
Thus, the y-value that corresponds to the x-value of \(-1\) is \(4\).
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