Write an equation for each translation of y=|x|.

13 units down

A) y = | - 13x |

B) y = | x | - 13

C) y - 13 = | x |

D) y = 13 + | x |

y = |x| - 13

Step-by-step explanation:

recall for any function y = f (x), to translate the function vertically by any value "a", we simply have to add "a" to f (x).

If a is positive, then the graph is translated in the positive y-direction (i. e upwards), if a is negative, then the graph is translated in the negative y-direction (i. e downwards)

In our case, the graph is translated vertically by 13 units (i. e a = 13) and it is to be translated downwards (i. e negative)

hence we add a = - 13 to the original function.

y = f (x) + (-13)

y = |x| + (-13)

y = |x| - 13