Consider the function graphed below. у A 6 44 f 2 X - 2 LA 4 6 6 2 4 6 If fis translated 4 units down to create g, which function represents g? O A. g(x) = f(x) + 4 OB. g(x) = f(x+4) O C. g(x) = f(x-4) OD. g(x) = f(x) - 4​

Respuesta :

Answer:  we are given

f is translated 4 units down to create g

we know that

whenever we translate any function by 'a' units down, we always subtract that function by 'a' units

Suppose, f(x) is translated down by 'a' units

so, we get

=f(x)-a

now, we have

f is translated 4 units down

so, we get

and it is creating g(x)

A is the correct answer

Step-by-step explanation:

The equation that represents the function g(x) is g(x) = f(x) + 4

From the complete question, the function f(x) is translated up by 4 units to get the function.

This means that the equation of the function g(x) is:

g(x) = f(x) + b

Where b is the unit of translation.

So, we have:

g(x) = f(x) + 4

Hence, the equation that represents the function g(x) is g(x) = f(x) + 4

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