Practice win CalcChat . AND CalcView 1 . In Exercises I-4. describe the slope of the line. Then find the slope. re- - In Exercises 9-12, use the graphs of f and & to describe the transformation from the graph of f to the graph of h. (See Example 2,) 9. f(x) - x+4 10. h ( x) =-f(x) f ( x ) = -3x + 1 D 11. f(x) = -5 - x;11(x) = f(-x) 12. ( x) = 4x - 2; 1(x) = -f(x) In Exercises 13-18, use the graphs off and r to describe the transformation from the graph of f to the graph of r. (See Example 3.) 13. f ( x ) = 3x - 1 14. (f ( x) = -x 2 r(x) = f( xx) 2 4 x r ( x ) = 2f (x ) 15 . f ( x ) = - 2x - 4; 1(x) = f(2x) 16. f(x) = 3x + 5; 1(x)=f(5x) horizontal streten by afactorof 3 17. f (x) = 2x + 1; r(x) = 3f(x) 18 . f ( x ) = - 4x - 2; r(x ) = 4f ( x ) 13. Vertical stretch by a paofor Of y In Exercises 19-24, use the graphs of f and h to describe the transformation from the graph of f to the graph of h. (See Example 4.) 17. 20. 19. h (x) = f(3x) h ( x ) = f ( x ) GO DIGI f ( x ) = -2x - 6 21. f (x) = 3x - 12; h(x) = f(x) 22. f (x ) = -x+ 1; h(x) =f( 2x ) hoffzonton stretch by a factord Big Ideas Learning, LLC 2 D 23. f(x) = -2x - 2; h(x)=f(5x) 24 . f ( x ) = 4x + 8 ; 1(x ) = =f ( x ) vertical stretch by a factor OR 260 Chapter 3 Graphing Linear Functions3.6 Practice WITH CalcChat AND Inlet 3.7 Practice with CalcChat AND CalcView In Exercises 1-6, use the graphs of f and g to describe the transformation from the graph of f to the graph of g. (See Example 1.) 1. g ( x ) = f ( x ) + 2 2 . g(x) = f(x + 4) f(x) = -2x x - 3 D 3. f ( x) = 3x + 3; 8(x) = f( x ) - 3 4. f (x) = - 3x + 4; 8(x) = f(x) + 1 5 . f ( x ) = - x - 2; 8(x) = f(x+ 5) 6. f( x) = 2x - 5:8(x) =f(x-3) Translation 3 units to the right 7. MODELING REAL LIFE You and your friend start biking from the same location. Your distance (in miles) after t minutes is represented by d(t) = 3t. Your friend starts biking 5 minutes after you. Her distance is represented by f(t) = d(t - 5). Describe the transformation from the graph of d to the graph of f. 7 8. MODELING REAL LIFE The total cost (in dollars) to bowl n games is represented by C(n) = 4.5n + 2.5. The shoe rental Bowling: $4.50 per game price increases $0.50. The new total cost is Shoe Rental: $2.50 represented by T(n) = C(n) + 0.5. Describe the transformation from the graph of C to the graph of T. Big la earning, LLC 3.7 Transformations of Linear Functions 259