On each coordinate plane, the parent function f(x) = |x| is represented by a dashed line and a translation is represented by a solid line. which graph represents the translation g(x) = |x| – 4 as a solid line?

In this case, we have that the main function is given by:

We apply the following transformation

Vertical displacement:

Assume k> 0.

To graph y = f (x) - k, move the graph k units down.

Therefore, for k = 4 we have:

g (x) = | x | - 4 is the graph of f (x) vertically displaced 4 units down

Refer the attached graph.

Step-by-step explanation:

Given : On each coordinate plane, the parent function is represented by a dashed line and a translation is represented by a solid line.

To find : The graph represents the translation as a solid line?

Solution :

The parent function f(x) is being transformed to form g(x).

In the graph, 4 unit is subtracted from the graph of  

When some unit is subtracted from function there is shifting downward.

f(x) → f(x)-b , the function is shifted downwards by b unit.

So, the transformation is 4 unit downward.

Refer the attached graph below.

a is the right answer