Respuesta :

for every function like f(x), f(x+a) brings the diagram of a units left
y = | x + 2.5 |

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

[tex]y = f (x) = | x |[/tex]

We want to move the function 2.5 units to the left.

For this, we follow the following rule:

[tex]g (x) = f (x + 2.5)[/tex]

Therefore, according to the rule we have:

[tex]g (x) = | x + 2.5 |[/tex]

Answer:

The equation of the translated function is given by:

[tex]g (x) = | x + 2.5 |[/tex]

Option C