We have an original function, this is:
![y=x^2](https://img.qammunity.org/2023/formulas/mathematics/college/1ch5n55tacdusoaz2xqjwppl7gqbo47w29.png)
In addition, we have a second function that is based on the original function but with a translation.
As you can see in the above image, the function in the red line is moved 6 units to the right.
Let's remember one of the rules of function translation.
y = f(x) Original function
y = f(x-c) Where it is translated horizontally, "c" units to the right.
Since in this case, we have 6 units of translation to the right the equation of the function shown in red is:
![y=(x-6)^2](https://img.qammunity.org/2023/formulas/mathematics/college/gc7ipjuhfpox03a1650eo178jfoyr13nnp.png)