map101102otzfe0 map101102otzfe0
  • 16-08-2017
  • Mathematics
contestada

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 |

Respuesta :

amirreza688 amirreza688
  • 16-08-2017
for every function like f(x), f(x+a) brings the diagram of a units left
y = | x + 2.5 |

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carlosego
carlosego carlosego
  • 24-01-2019

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


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