Which function represents the graph of f(x)=−4|x| after it is translated 3 units down? a. g(x)=-4|x+3| b. g(x)=-4|x|+3 c. g(x)=-4|x|-3 d. g(x)=-4|x-3|

C. .

Step-by-step explanation:

We have been given a  function formula . We are asked to find the function that is obtained from translating our given function by 3 units down.

We will use transformation rules to solve our given problem.

,

,

,

.

Since we need to translate our given graph by 3 units down, so we need to subtract 3 outside of our given function.

Therefore, our required graph would be and option C is the correct choice.

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