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9.2 The Reciprocal Function Family Functions that model inverse variations belong to a family whose parent is the RECIPROCAL FUNCTION. The general form of a family member is: ***With a single real number 'h' missing from its domain. The value of 'a' causes the graph to stretch/shrink. Do you remember what the values of 'h' and 'k' do? Title: Apr 22­2:15 PM (1 of 7) Graph the following: **Does this graph have any horizontal or vertical asymptotes? Title: Apr 22­2:24 PM (2 of 7) Let's draw and compare the graphs of: Title: Apr 22­2:28 PM (3 of 7) Translations of Reciprocal Functions Parent function: Stretch (a>1) Shrink (0<a<1) Reflected about x­axis (a<0) Horizontal translation by h vertical asymptote at x=h Vertical translation by k horizontal asymptote at y=k Title: Apr 22­2:32 PM (4 of 7) Sketch the graph of: **Graph H.A.'s and V.A.'s first! Title: Apr 22­2:41 PM (5 of 7) Writing the Equation of a Transformation Write an equation for the translation of that has asymptotes at and Write an equation for the translation of that is 4 units left and 5 units up. Title: Apr 22­2:44 PM (6 of 7) Homework: Page 498 #'s 1 ­ 6, 14 ­ 17, 22 ­ 24 Title: Apr 22­2:47 PM (7 of 7)