It looks like you've uploaded a Pre-Calculus homework document. Here's a summary of the tasks it contains:

1. Rational Functions and Transformations:

   • Identify the transformations and asymptotes for each given function.
   • Sketch the graph of each rational function.
   • Functions to analyze include:
     1. $h(x) = \frac{1}{x+4} - 1$
     2. $g(x) = -\frac{1}{x} + 5$
     3. $k(x) = \frac{1}{x-2} - 6$
     4. $p(x) = -\frac{1}{x} + 3$

2. Asymptotes and Graphing:

   • Identify the vertical and horizontal asymptotes.
   • Sketch graphs for the following functions: 5. $g(x) = \frac{x+2}{2x+6}$ 6. $f(x) = \frac{-3x^2}{x^2-4}$ 7. $k(x) = \frac{x+4}{-2x-6}$ 8. $f(x) = \frac{6x-5}{2-3x}$

Would you like assistance solving these functions or understanding the transformations and asymptotes? Let me know if you'd prefer detailed explanations for any specific part.

Here are 5 possible follow-up questions:

1. How do you find the vertical and horizontal asymptotes of a rational function?
2. Can you explain how transformations affect the graph of rational functions?
3. What methods can you use to sketch a rational function graph accurately?
4. How do you handle functions with more complex numerators and denominators like in #6?
5. What are the steps to determine the domain of these functions?

Tip: For rational functions, vertical asymptotes occur where the denominator equals zero, and horizontal asymptotes are often found by analyzing end behavior based on degrees of the numerator and denominator.