Geometry A Semester Online Practice Complete this assessment to review what you've learned. It will not count toward your grade. A function, \( f(x)=\frac{1}{x}+4 \), is reflected. Its image is the function \( g(x)=-\frac{1}{x}-4 \) select the rule used to reflect the function. (1 point) Check answer Remaining Attempts:3

To reflect a function across the x-axis, you negate the output. In this case, the function \( f(x) = \frac{1}{x} + 4 \) is transformed into \( g(x) = -f(x) \), which is \( g(x) = -\left(\frac{1}{x} + 4\right) = -\frac{1}{x} - 4 \). This means every y-value of the original function has been flipped to the opposite sign. Reflecting over the y-axis involves negating the input of the function, while reflecting over the x-axis involves negating the output. Make sure to remember the differences, as they are crucial when manipulating functions in different scenarios!