1. Algebra 2 Notes May 20, 2009

2. Homework #63 Answers 1) 4) 7) direct; 8) inverse; 12) neither 13) 17) A varies jointly with b and h 18) h varies directly with A and inversely with b 23) l varies directly with V and inversely with the product of w and h 24) 27) 60) B 61) F 62) A

3. Warm-Ups 1) Suppose x varies inversely with y. Write a function that models the inverse variation: x = 2 when y = 3 2) Graph the equation that you found in #1 using the following table: x -12-6-3-2-½½123612 y

4. Graph of y = x/6  The x-axis is a horizontal asymptote  The y-axis is a vertical asymptote

5. Reciprocal Functions The functions that model inverse variations are called “reciprocal functions” The general form for a reciprocal function is: x = h represents the vertical asymptote and y = k represents the horizontal asymptote In other words, h translates the graph horizontally and k translates the graph vertically

7. Writing an Equation Write an equation for the translation of that has asymptotes at x = -2 and y = 3 Write an equation for the translation of that is 4 units left and 5 units up.

8. Homework #64 Page 498 #1, 22-24, 27, 29, 32, 53, 55-57