Question

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

Answer 1

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

Answer 2

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