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Horizontal shift right 2 units Vertical shift up 1 unit Algebra 2/Trigonometry Name: _____________________________ Parent Graphs: Linear Transformations HW Date: _________________ Block: _______ Directions: After completing the first section for each function it is now time to practice what you have discovered. Given following information about the function, state the equation and description of the graph. Finally, write a description of the linear transformation that has taken place. PART 1: Quadratic Function Equation: _____________________ Description: Equation: _____________________ Description: ___________________ ______________________________ Equation: f(x) = (x – 1)2 -5 Description: ___________________ ____________________________________________________________ ______________________________ A quadratic function Horizontal shift right 2 units Vertical shift up 1 unit PART 2: Cubic Function Equation: _____________________ Description: ___________________ ______________________________ Equation: f(x) = (x + 3)3 + 2 Description: ___________________ ______________________________ Equation: _____________________ Description: A cubic function Horizontal shift left 2 units Vertical shift down 4 units

Horizontal shift left 1 unit Vertical shift down 2 units Algebra 2/Trigonometry Name: _____________________________ Parent Graphs: Linear Transformations HW Date: _________________ Block: _______ Directions: After completing the first section for each function it is now time to practice what you have discovered. Given following information about the function, state the equation and description of the graph. Finally, write a description of the linear transformation that has taken place. PART 3: Square Root Function Equation: _____________________ Description: Equation: _____________________ Description: ___________________ ______________________________ Equation: Description: ___________________ ____________________________________________________________ ______________________________ A square root function Horizontal shift left 1 unit Vertical shift down 2 units PART 4: Cube Root Function Equation: _____________________ Description: ___________________ ______________________________ Equation: Description: ___________________ ______________________________ Equation: _____________________ Description: A cube root function Horizontal shift left 3 units Vertical shift up 4 units

An absolute value function Horizontal shift left 1 unit Algebra 2/Trigonometry Name: _____________________________ Parent Graphs: Linear Transformations HW Date: _________________ Block: _______ Directions: After completing the first section for each function it is now time to practice what you have discovered. Given following information about the function, state the equation and description of the graph. Finally, write a description of the linear transformation that has taken place. PART 5: Absolute Value Function Equation: _____________________ Description: ___________________ ______________________________ Equation: f(x) = |x – 2| - 6 Description: ___________________ ____________________________________________________________ ______________________________ Equation: _____________________ Description: An absolute value function Horizontal shift left 1 unit Vertical shift up 1 unit PART 6: Reciprocal Function Equation: _____________________ Description: ___________________ ______________________________ Equation: f(x) = (x -2)-1 + 1 Description: ___________________ ______________________________ Equation: _____________________ Description: A reciprocal function Horizontal shift right 4 units Vertical shift up 3 units