Name _______________________________________ Date __________________ Class __________________ 10-2 Graphing Square Roots Describe the transformations of g ( x ) from the parent function. Tell the endpoint and give either a or b, then sketch the graph on your own graph paper. Parent Function f (x ) x . 2. g ( x ) 2( x 4) 1 1. g ( x ) x 5 3 _______________________________________ 3. g ( x ) ________________________________________ 1 x 6 3 4. g ( x ) 0.4 x 8 10 _______________________________________ ________________________________________ Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 114 Name _______________________________________ Date __________________ Class __________________ 3. x x 6; f 1( x ) x 6; x f 1(f ( x )) 2 6 6 x2 x 4. x x 2; f 1( x ) x 2; f 1(f ( x )) x 2 2 2 x2 x Reteach 10-2 1. Reflect across x-axis; horizontal shift right 5 units; vertical shift up 3 units 1 2. Horizontal shrink by ; horizontal shift 2 left 4 units; vertical shift up 1 unit 3. Reflect across y-axis; horizontal stretch by 3; vertical shift down 6 units 4. Vertical compression by 0.4; horizontal shift left 8 units; vertical shift down 10 units Reteach 10-3 1. f ( x ) 3 3 x 2 2 2. f ( x ) 3 1 x 3 2 2 Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 115 Name _______________________________________ Date __________________ Class __________________ 3. f ( x ) 2 3 x 1 2 Reteach 11-1 1. 125 2. 9 3. 7776 4. 48.5 5. 3 6. 49 1 7. 8 8. 32 Reteach 11-2 5 1. 243a 3 4 2. 4b 5 1 3. 9x 2 4. 1 x6 5. 5 y 1 6. z 5 Reteach 11-3 1. x 19 2. x 1 3. x 3 ( x 3 is extraneous) 4. x 10 5. x 1 ( x 4 is extraneous) 6. x 9 5 Reteach 12-1 1. No 2. Yes; d 2; f(n) 14 (2)(n 1) 3. No 4. f(1) 5, f(n) f(n 1) 5, for n 2; f(n) 5 5(n 1) 5. f(1) 7, f(n) f(n 1) (3), for n 2; f(n) 7 (3)(n 1) 6. f(1) 4, f(n) f(n 1) 3, for n 2; Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 116 Name _______________________________________ Date __________________ Class __________________ f(n) 4 3(n 1) 7. 6, 9, 12 Original content Copyright © by Houghton Mifflin Harcourt. Additions and changes to the original content are the responsibility of the instructor. 117