Algebra 2Trigonometry Parent Graphs Linear Transformations HW Name

Algebra 2/Trigonometry Parent Graphs: Linear Transformations HW Name: _______________ 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: _____________________ Equation: f(x) = (x – 1) 2 -5 Description: ______________________________ • A quadratic function ______________________________ • Horizontal shift right 2 units ______________________________ • Vertical shift up 1 unit Equation: ___________ Equation: f(x) = (x + 3) 3 + 2 Equation: ___________ Description: ___________________ Description: ______________________________ • A cubic function ______________________________ • Horizontal shift left 2 units ______________________________ • Vertical shift down 4 units Description: PART 2: Cubic Function

Algebra 2/Trigonometry Parent Graphs: Linear Transformations HW Name: _______________ 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: ___________ 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: ___________________ Description: ______________________________ • A cube root function ______________________________ • Horizontal shift left 3 units ______________________________ • Vertical shift up 4 units

Algebra 2/Trigonometry Parent Graphs: Linear Transformations HW Name: _______________ 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: ___________ Equation: f(x) = |x – 2| - 6 Equation: ___________ Description: ___________________ Description: ______________________________ • An absolute value function ______________________________ • Horizontal shift left 1 unit ______________________________ • Vertical shift up 1 unit Equation: ___________ Equation: f(x) = (x -2) -1 + 1 Equation: ___________ Description: ___________________ Description: ______________________________ • A reciprocal function ______________________________ • Horizontal shift right 4 units ______________________________ • Vertical shift up 3 units PART 6: Reciprocal Function