Algebra 2 Companion Book, Volume 1

5.1.1 Using Transformations to Graph Quadratic Functions - Worksheet (continued)

Example 4: Use the description to write each quadratic function in vertex form. 13. The parent function f ( x ) = x 2 is vertically stretched by a factor of 2 and translated 3 units left to create g .

14. The parent function f ( x ) = x 2 is reflected across the x -axis and translated 6 units down to create h .

Example 5: 15.  The safe working load L in pounds for a natural rope can be estimated by L ( r ) = 5920 r 2 , where r is the radius of the rope in inches. For an old rope, the function L o ( r ) = 4150 r 2 is used to estimate its safe working load. What kind of transformation describes this change, and what does this transformation mean?

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