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Algebra 2 Chapter One Review Name_____________ Period__________ 1. What is the domain and range for the parent function y x ? _______________________________ 2. What are the coordinates of the transformed point? (5,-1); vertical shift 3 units down and horizontal shift 4 units left _______________________________ 3. What numbers complete the table of the transformed function? Reflection across y-axis X y 2 -2 1 -1 0 0 -1 1 -2 2 5. The graph of a function passes through the points (6, 4) and (12, 16). What are the coordinates of these points after the function has been compressed 1 vertically by a factor of ? 2 ________________________________________ 6. Graph the data from the table. Describe the parent function and the transformation that best approximates the data set. x 5 4 -3 -2 -1 y 1 _______________________________ 4. Use a table to perform a horizontal stretch of y f(x) by a factor of 2. Graph using the same coordinate plane as the original function. ________________________________________ 7. Graph the relationship from time to number of organisms living in a petri dish during the course of an experiment. Use the parent function that best approximates the data to predict when the number of organisms will reach 26. Organisms in Petri Dish x y Time (h) 0 1 2 3 4 No. of Organisms 4 8 11 12 16 (Sketch your own graph) 2 8. What is the parent function? x 2x 1 9. Let g(x) be a horizontal translation 2 units to the right, followed by a reflection over the xaxis of f(x) 3x 4. Write the rule for g(x). 10. Let g(x) be a horizontal compression by a factor of 1 2 of f (x ) x 9 . Write the rule for 3 5 g(x). 11. Let g(x) be the indicated combined transformation of f(x) = x. Write the rule for g(x). Horizontal shift left 6 units and vertical shift down 6 units 12. Let g(x) be the indicated combined transformation of f(x) = x. Write the rule for g(x). Vertical shift 4 units up followed by vertical compression by a factor of 3 . 4 13. What transformation describes the equation from its parent equation? f x3 11 14. What transformation describes the equation from its parent equation? 4 f x 3 ________________________________________ Let g(x) be the indicated combined transformation of f (x) x. Write the rule for g(x). 15. vertical translation down 2 units followed by a horizontal compression by a factor of 2 5 16. horizontal stretch by a factor of 3.2 followed by a horizontal translation right 3 units Let g(x) be the indicated transformation of f (x). Write the rule for g(x). 17. Vertical stretch by a factor of 3 1 18. Horizontal compression by a factor of 3 Original content Copyright © by Holt McDougal. Additions and changes to the original content are the responsibility of the instructor. Holt McDougal Algebra 2