Question

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

Answer 1

To find the y-value that corresponds to the x-value of \(-1\) for the function \( f(x) = 2x^2 - 2x \), we can substitute \(-1\) into the function.

Let's calculate \( f(-1) \):

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

Now, calculate each term:

1. \( (-1)^2 = 1 \) so \( 2(-1)^2 = 2 \cdot 1 = 2 \)
2. \( -2(-1) = 2 \)

Adding these two results together:

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

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

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