Below is the graph of $$ y=\left(\frac{1}{4}\right)^{x} $$ Translate it to become the graph of $$ y=\left(\frac{1}{4}\right)^{x-1}-2 $$.

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To translate the graph of $$ y = \left(\frac{1}{4}\right)^{x} $$ to the graph of $$ y = \left(\frac{1}{4}\right)^{x-1} - 2 $$, we need to analyze the transformations involved.

1. **Horizontal Shift**: The term $$ x - 1 $$ indicates a horizontal shift to the right by 1 unit. This means that every point on the graph of $$ y = \left(\frac{1}{4}\right)^{x} $$ will move 1 unit to the right.

2. **Vertical Shift**: The term $$ -2 $$ indicates a vertical shift downward by 2 units. After shifting the graph to the right, we will then move every point down by 2 units.

### Steps to Translate the Graph:

1. **Start with the original graph**: The graph of $$ y = \left(\frac{1}{4}\right)^{x} $$ is an exponential decay function that approaches 0 as $$ x $$ increases and passes through the point $$ (0, 1) $$.

2. **Apply the horizontal shift**: Shift the entire graph 1 unit to the right. The point $$ (0, 1) $$ will move to $$ (1, 1) $$. Other points will also shift accordingly.

3. **Apply the vertical shift**: After shifting to the right, move the entire graph down by 2 units. The point $$ (1, 1) $$ will move to $$ (1, 1 - 2) = (1, -1) $$.

### Resulting Graph:

The resulting graph of $$ y = \left(\frac{1}{4}\right)^{x-1} - 2 $$ will have the following characteristics:
- It will still be an exponential decay function.
- The horizontal asymptote, which was originally at $$ y = 0 $$, will now be at $$ y = -2 $$.
- The graph will pass through the point $$ (1, -1) $$.

In summary, the graph of $$ y = \left(\frac{1}{4}\right)^{x-1} - 2 $$ is obtained by shifting the graph of $$ y = \left(\frac{1}{4}\right)^{x} $$ 1 unit to the right and then 2 units down.
Shift the graph of $$ y = \left(\frac{1}{4}\right)^{x} $$ 1 unit to the right and then 2 units down.

Below is the graph of
Translate it to become the graph of .

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