Question

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

Answer 1

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

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