5.1.1 Using Transformations to Graph Quadratic Functions - Practice
1. Use a table to graph the function f ( x ) = − x 2 − 5 x − 6.
2. Use a table to graph the function g ( x ) = − x 2 + x + 1.
3. Using the graph f ( x ) = x 2 as a guide, describe the transformations and then graph g ( x ). = − + g x x ( ) ( 1) 2 2
4. Using the graph f ( x ) = x 2 as a guide, describe the transformations and then graph g ( x ). =− − g x x ( ) 3. 2
1 3
1 3
5. The parent function f ( x ) = x 2 is vertically compressed by a factor of 1/2 and translated 1 unit right and 3 units down to create g . Write the function g in vertex form.
6. The parent function f ( x ) = x 2 is reflected across the x -axis, vertically stretched by a factor of 5, and translated 3 units down to create g . Write the function g in vertex form.
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