Quadratic Functions from Situations Practice

Question

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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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Answer 1

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 \(4\).