Write the equation of the function that has a graph the shape of y=/x/ ,reflected about the x-axis and shifted down 1 unit.

To find the equation of the function that has the graph shaped like y = |x|, reflected about the x-axis, and shifted down 1 unit, we can follow these steps:

Step 1: Start with the original function y = |x|. This function represents the absolute value of x.

Step 2: Reflect the function about the x-axis. This is done by multiplying the original function by -1. So, we have -y = -|x|.

Step 3: Shift the reflected function down 1 unit. This can be achieved by subtracting 1 from the function. Therefore, the equation becomes -y = -|x| - 1.

Step 4: We can multiply both sides of the equation by -1 to simplify the equation and make it look more conventional. So, we get y = |x| + 1 as our final equation.

Hence, the equation of the function that has a graph shaped like y = |x|, reflected about the x-axis, and shifted down 1 unit is y = |x| + 1.