The function f(x)=(x+1)^2 is reflected over the x-axis to create g(x). identify the equation for g(x).

Answer 1

To reflect the function \( f(x) = (x + 1)^2 \) over the x-axis, we need to take the negative of the function. The reflection of \( f(x) \) over the x-axis is given by:

\[ g(x) = -f(x) \]

Substituting \( f(x) \) into this equation:

\[ g(x) = -((x + 1)^2) \]

Thus, the equation for \( g(x) \) is:

\[ g(x) = -(x + 1)^2 \]