Question

Graph the function f(x)=2x2−2x
𝑓
(
𝑥
)
=
2
𝑥
2
−
2
𝑥
. What is the y-value that corresponds to the x-value of −1
−
1
?(1 point)

Answer 1

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.

Here's the calculation:

\[
f(-1) = 2(-1)^2 - 2(-1)
\]

Calculate \( (-1)^2 \):

\[
(-1)^2 = 1
\]

Now substitute this back into the function:

\[
f(-1) = 2(1) - 2(-1)
\]
\[
f(-1) = 2 - (-2)
\]
\[
f(-1) = 2 + 2
\]
\[
f(-1) = 4
\]

Therefore, the y-value that corresponds to the x-value of -1 is \( 4 \).