To find the y-intercept of the function $y = 2^{x-6}$, you need to determine the value of $y$ when $x = 0$. The y-intercept occurs when $x = 0$.

Substitute $x = 0$ into the equation:

$y = 2^{(0 - 6)} = 2^{-6}$

Now, calculate $2^{-6}$:

$2^{-6} = \frac{1}{2^6} = \frac{1}{64}$

So, the y-intercept is $\left(0, \frac{1}{64}\right)$.

If you have any questions or want more details, feel free to ask! Here are some related questions:

1. What is the x-intercept of the function $y = 2^{x-6}$?
2. How does the graph of $y = 2^{x-6}$ compare to the graph of $y = 2^x$?
3. What is the domain and range of the function $y = 2^{x-6}$?
4. How would you solve for $x$ when $y = 1$ in the equation $y = 2^{x-6}$?
5. What happens to the function $y = 2^{x-6}$ as $x$ approaches infinity?

Tip: The y-intercept can be found by setting $x = 0$ in any function.