Which function represents the graph of f(x)=|2x| after it is translated 5 units to the left?

a.) g(x)=|2(x−5)|
b.) g(x)=|2(x+5)|
c.) g(x)=|2x+5|
d.) g(x)=|2x−5|

The answer is the option B

Step-by-step explanation:

we know that

The function

has the vertex  at point

The rule of the translation is

The translation of the point is equal to

so

The function g(x) has the vertex at point

therefore

the function g(x) is equal to

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step-by-step explanation: