Write the equation of the function that has a graph the shape of y=3�ãx, vertically shrunk by a factor of 1/4 and shifted right 6 units.

To write the equation of the function, we need to start with the base function y = 3^x.

First, we need to vertically shrink the function by a factor of 1/4. To do this, we multiply the function by 1/4.

y = 1/4 * 3^x

Next, we need to shift the graph right 6 units. To do this, we replace x with (x - 6) in the equation.

y = 1/4 * 3^(x - 6)

Therefore, the equation of the function that has a graph with the shape of y = 3^x, vertically shrunk by a factor of 1/4 and shifted right 6 units is y = 1/4 * 3^(x - 6).