Question

Need help with homework

Answer 1

We have an original function, this is:

$y=x^2$

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:

$y=(x-6)^2$