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AFDA – Unit 3: Absolute Value and Piecewise Functions Name: _________________ Day 3 Notes: Graphing Absolute Value Functions Block: _____ Date:_______ Today… You will be able to graph Absolute Value Equations You will be able to describe the shift from the parent function based on the equation given You will be able to determine the equation of an Absolute Value graph The graph of an absolute value function is always ____________________ and _______________________. General Form for an Absolute Value Function: h = ______________________ k = ______________________ a = ___________________________ The __________________________ is the point at which the graph changes direction. The __________________________ is the imaginary VERTICAL line that cuts the graph into two identical parts. 1.) y x 2.) y x 3 Vertex:_______ AoS:_______ Vertex:_______ AoS:_______ Direction:________________ Direction:________________ 3.) y x 4.) y x 3 5.) y 3 x 6.) y 3 x 7.) y 1 x2 4 2 1 3 8.) y x 1 3 9.) y x 3 1 a= _____ h=_____ k=_____ Transformation: 10.) y 2 x 2 5 2 3 11.) y x 4 1 For the problems on this page, write the equation that produced each graph. 12.) a= h= k= Equation: 13.) 14.)