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:

$$g(x)=-(x+1{)}^2$$