1. Graphing Radical Functions ALGEBRA 2 LESSON 7-8 7-8 Algebra 2 Lesson 7-8 (Page 408)

2. The graph of y = x + 5 is the graph of y = x shifted up 5 units. Graphing Radical Functions ALGEBRA 2 LESSON 7-8 The domains of both functions are the set of nonnegative numbers, but their ranges differ. Graph y = x + 5 and y = x – 7. 7-8 The graph y = x – 7 is the graph of y = x shifted down 7 units.

3. The graph of y = x + 7 is the graph of y = x shifted left 7 units. The graph y = x – 5 is the graph of y = x shifted right 5 units. Graphing Radical Functions ALGEBRA 2 LESSON 7-8 Graph y = x + 7 and y = x – 5. The ranges of both functions are the set of nonnegative numbers, but their domains differ. 7-8

4. Graphing Radical Functions ALGEBRA 2 LESSON 7-8 Graph y = – x, y = –2 x, and y = –1.5 x. 1313 Each y-value of y = –2 x is times the corresponding y-value of y = –1.5 x. The domains of the three functions are the set of nonnegative numbers, and the ranges are the set of negative numbers. 7-8

5. y = 3 x – (–2) + (–1), so translate the graph of y = 3 x left 2 units and down 1 unit. Graphing Radical Functions ALGEBRA 2 LESSON 7-8 Graph y = 3 x + 2 – 1. 7-8

6. Graph the model with a graphing calculator. Graphing Radical Functions ALGEBRA 2 LESSON 7-8 The function h(x) = 0.5 x models the height h in meters of one group of male giraffes with a body mass of x kilograms. 3 Use the graph to estimate the body mass of a young male giraffe with a height of 3 meters. The giraffe has a mass of about 216 kg. 3 Graph y = 0.5 x and y = 3. Adjust the window so the graphs intersect. Use the Intersect feature to find that x 216 when y = 3. 7-8

7. 3 3 The graph of y = 2 x + 2 – 2 is the graph of y = 2 x translated 2 units left and 2 units down. Graphing Radical Functions ALGEBRA 2 LESSON 7-8 Graph y = 2 x + 2 – 2. 7-8 3

8. Graphing Radical Functions ALGEBRA 2 LESSON 7-8 Rewrite y = 9x + 18 to make it easy to graph using a translation. Describe the graph. y = 9x + 18 = 3 x + 2 = 3 x – (–2) The graph of y = 9x + 18 is the graph of y = 3 x translated 2 units left. = 9(x + 2) 7-8