Question

Write an equation for each translation of y=|x|. 2.5 units left y = | x | – 2.5

y = | x | + 2.5
y = | x + 2.5 |
y = | x – 2.5 |

Answer 1

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

Answer 2

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

`y = f (x) = | x |`

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

For this, we follow the following rule:

`g (x) = f (x + 2.5)`

Therefore, according to the rule we have:

`g (x) = | x + 2.5 |`

Answer:

The equation of the translated function is given by:

`g (x) = | x + 2.5 |`

Option C