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Answer: Third option.
Step-by-step explanation:
Some transformations for a function f(x) are shown below:
If , the function is translated "k" units up
If , the function is translated "k" units down.
If , the function is translated "k" units left.
If , the function is translated "k" units right.
In this case you have the following function:
And you know that the function g(x) is obtained by translating the function f(x) 5 units down and 3 units left; therefore, you can conclude that g(x) is:
Finally, simplifying, you get that this is: