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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 |

User Nouveau
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1 Answer

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Answer:

y = |x| -13

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

User Cledoux
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