If you shift the quadratic parent function, f (x) = x^2, right 12 units, what is the equation of the new function?

f (x) = (x-12) ^2

Step-by-step explanation:

We know that the function f (x+m) equals to the function f (x) translated 'm' times to the left. Therefore, to translate the function f (x) = x^2 twelve units to the right, we have to:

f (x-12) = (x-12) ^2

Therefore, the new function is: f (x) = (x-12) ^2

G (x) = (x-12) ^2