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 \( f(-1) = 4 \).

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