5.1.1 Using Transformations to Graph Quadratic Functions - Worksheet
Example 1: Graph each function by using a table. 1. f ( x ) = − 2 x 2 − 4
2. g ( x ) = − x 2 + 3 x − 2
3. h ( x ) = x 2 + 2 x
Example 2: Using the graph of f ( x ) = x 2 as a guide, describe the transformations, and then graph each function. 4. d ( x ) = ( x − 4) 2 5. g ( x ) = ( x − 3) 2 + 2 6. h ( x ) = ( x + 1) 2 − 3
Example 3: Using the graph of f ( x ) = x 2 as a guide, describe the transformations, and then graph each function. 7. g ( x ) = 3 x 2 8. = h x x ( ) 2 9. p ( x ) = 0.25 x 2
1 8
=− d x x ( ) 2 3 2
10. h ( x ) = − (5 x ) 2
11. g ( x ) = 4.2 x 2
12.
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