Reflections as Functions Practice Complete this assessment to review what you’ve learned. It will not count toward your grade. 5 of 55 of 5 Items Question Use the image to answer the question. The graph shows the function f(x)=|x|+2 . Place the appropriate symbols in the equation of g(x) so that g(x) is a transformation of f(x) that follows the rule rx−axis . (1 point) g(x)= |x| 2 Remaining Attempts : 3 Skip to navigation page 13 of 14 Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.Formula keypad has been closed. Press Control + Backslash to open it again.

Answer 1

To reflect the function \( f(x) = |x| + 2 \) across the x-axis, you need to negate the entire function.

The formula for \( g(x) \) after reflecting \( f(x) \) across the x-axis is:

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

Since \( f(x) = |x| + 2 \), we can substitute that into the equation:

\[ g(x) = -(|x| + 2) \]

This simplifies to:

\[ g(x) = -|x| - 2 \]

So, in your case, you would insert a negative sign in front of both parts of the original function:

\[ g(x) = -|x| - 2 \]

This indicates the appropriate symbols needed to reflect the function across the x-axis. If you are asked to place symbols in \( g(x) = |x| _ 2 \), it would look like:

\[ g(x) = -|x| - 2 \] with the appropriate operations indicated.