The function \( f(x)=\left(\frac{1}{3}\right)^{x} \) is transformed by shifting it up by 4 units. What is the equation of the transformed function?

To transform the function \( f(x) = \left(\frac{1}{3}\right)^{x} \) by shifting it up by 4 units, we need to add 4 to the entire function. The transformed function can be expressed as: \[ g(x) = f(x) + 4 \] Substituting \( f(x) \) into this equation gives: \[ g(x) = \left(\frac{1}{3}\right)^{x} + 4 \] Thus, the equation of the transformed function is: \[ g(x) = \left(\frac{1}{3}\right)^{x} + 4 \]