Answer:
y = |x| - 13.
Explanation:
We know that,
Translation is a transformation that shifts the figure in any direction by some scale factor.
The general form for horizontal translation of a function f(x) is f(x \pm k) and vertical translation is f(x) \pm k, where k is any constant.
We are given y = |x| and are required to translate it 13 units down.
Which means that we are asked to translate the function y = |x| vertically 13 units down.
So, comparing with the general form, we get that the equation for translating y = |x| 13 units down is y = |x| - 13.
It can also be seen below that the graph of y = |x| -13 translates the function 13 units down.