Part A: When f(x) = (x−1)2

Question

is reflected over the x-axis, the new function is f(x) =

Answer 1

When a function \( f(x) \) is reflected over the x-axis, the new function can be obtained by negating the original function.

Given the function:

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

To reflect this function over the x-axis, we change the sign of \( f(x) \):

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

Thus, the new function after reflection over the x-axis is:

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