Question

Write an equation for each translation of .

5.5 units right



y = | x | + 5.5


y = | x – 5.5 |


y = | x | – 5.5


y = | x + 5.5 |

Answer 1

To translate the graph of the function \( y = |x| \) 5.5 units to the right, you need to replace \( x \) with \( x - 5.5 \) in the equation. This is because, for horizontal translations, moving to the right involves subtracting from \( x \).

So the correct equation after the translation 5.5 units to the right would be:

\[ y = |x - 5.5| \]

This corresponds to the second option in your list.

So, the equation for the translation is:

\[ y = |x - 5.5| \]