The graph of g(x) is obtained by reflecting the graph of f(x)=2|x| over the x-axis. which equation describes g(x)?
1. g(x)=|2x|
3. g(x)=−|x+2|
4. g(x)=|x+2|
5. g(x)=−|2x|

Step-by-step explanation:

Let's see the graph of the function f(x). According to the graph, we can see the next

Domain : R ( All real numbers)

Range : { x ∈ R : x ≥ 0}

If we reflecting f(x) over x-axis, the resulting function is the inverse of the function f (x), that is

, applying absolute value properties

  (I)

The graph of (I) is the second picture.

5. g(x) = −|2x|

Step-by-step explanation:

Given function,

Since, the reflection rule over x-axis is,

i.e. when a function f(x) is reflected over x axis, then the resultant function is -f(x),

Hence, if f(x) is reflected over x-axis to g(x),

Then,

g(x) = -f(x) = -2|x|

i.e. OPTION 5 is correct.

i believe the correct answer is option 4.principalities were small territories that were run by russian rulers.

which statement correctly defines principalities in northern asia in the 1200s? principalities were small territories that were run by russian rulers.

hope i could ! : )