Question
When f(x) = (x−1)2
is reflected over the x-axis, the new function is f(x) =
is reflected over the x-axis, the new function is f(x) =
Answers
GPT-4o mini
When a function \( f(x) \) is reflected over the x-axis, the new function is obtained by taking the negative of the original function.
Given \( f(x) = (x - 1)^2 \), the reflection over the x-axis would be:
\[
f(x) = -(x - 1)^2
\]
So the new function, after the reflection, is:
\[
f(x) = -(x - 1)^2
\]
Given \( f(x) = (x - 1)^2 \), the reflection over the x-axis would be:
\[
f(x) = -(x - 1)^2
\]
So the new function, after the reflection, is:
\[
f(x) = -(x - 1)^2
\]