Questions

1. Find the value of

2. Find the value of a if .

3. Find the equation of a function that has the same shape as but is shifted two units to the right and moved up one unit. What is the equation of the vertical asymptote of this new

graph? What is the domain of this new function?

4. State the domain, range, x-intercept, and equation of the vertical asymptote of .

5. If the graph of is decreasing what must be true about the value of a?

6. Graph . What is the domain? What type of symmetry does the graph have?

7. Find the value of x if .

8. If then find the value of