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 is reflected over the x-axis, the output of the function is negated.
Starting with the function \( f(x) = (x - 1)^2 \), to reflect it over the x-axis, we take the negative of the function:
\[
f(x) = -(x - 1)^2
\]
So, the new function after reflection over the x-axis is:
\[
f(x) = -(x - 1)^2
\]
Starting with the function \( f(x) = (x - 1)^2 \), to reflect it over the x-axis, we take the negative of the function:
\[
f(x) = -(x - 1)^2
\]
So, the new function after reflection over the x-axis is:
\[
f(x) = -(x - 1)^2
\]