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?

Question

UpStudy AI · Accepted Answer

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:

$$
g(x) = \left(\frac{1}{3}\right)^{x} + 4
$$
The equation of the transformed function is $$ g(x) = \left(\frac{1}{3}\right)^{x} + 4 $$.

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?