Graphing quadratics with Transformations Algebra III Vertical Transformations f ( x) x 2 k f ( x) x 2 Name: g ( x) x 2 1 h( x) x 2 2 Complete the following table and graph all 3 functions on the same graph. Pay close attention to how the output values change when a constant is added or subtracted from the parent function. x f ( x) x 2 g ( x) x 2 1 -2 -1 0 1 2 How does the k affect the output values on the table? How does the k affect the graph of the function? h( x) x 2 2 Horizontal Transformations f ( x) x h 2 g ( x) x 1 f ( x) x 2 h( x ) x 2 2 2 Complete the following table and graph all 3 functions on the same graph. Pay close attention to how the output values change when a constant is added or subtracted from the parent function. x f ( x) x 2 g ( x) x 1 -2 -1 0 1 2 How does the h affect the output values on the table? How does the h affect the graph of the function? 2 h( x ) x 2 2 Vertical Stretch/Shrink f ( x) ax 2 g ( x) 2 x f ( x) x 2 h( x ) 1 2 x 2 Complete the following table and graph all 3 functions on the same graph. Pay close attention to how the output values change when a constant is added or subtracted from the parent function. x f ( x) x 2 g ( x) 2 x -2 -1 0 1 2 How does the a affect the output values on the table? How does the a affect the graph of the function? h( x ) 1 2 x 2 Describe how each of the following functions compare to the parent function. Then graph each of the quadratic functions. Plot at least 5 points. 1. g ( x) x 2 1 2. Transformation: 3. h( x ) x 2 2 Transformation: 5. f ( x) 1 2 x 5 Transformation: 4. r ( x) x 6 2 Transformation: 6. f ( x) ( x 2)2 3 Transformation: 6. f ( x) x 2 4 g ( x) x 4 7 2 Transformation: Transformation: 7. h( x) ( x 1) 2 1 Transformation: