Monitoring Progress and Modeling with Mathematics AV A In Exercises 5-10, use the graphs of f and g to describe 17WITH MATHEMATICS The total cost the transformation from the graph of f to the graph ( (in dollars) to cater an event with p people is of g. (See Example 1.) given by the function C(p) = 18p + 50. The set-up 6. for increases by $25. The new total cost ? is given 5 . g(x) = f(x) + 2 by the function ?(p) - C(p) + 25. Describe the transformation from the graph of C to the graph of T 1. f(x) = -2x Corey's Catering 2. f( x) = x - 3 Pricing 7. f(x) = ;x + 3: 8(x) = f(x) - 3 $50 set-up fee + $18 per person 8. f(x) = - 3x + 4, g(x) = f(x) + 1 9. A(x) = -x - 2: 8(1) = f(x + 5) In Exercises 13-16, use the graphs of f and h to describe 10. A(x) = 2x - 5; 8(x) = f(x - 3) the transformation from the graph of f to the graph of h. (See Example 2.) 11. MODELING WITH MATHEMATICS You and a 13. f(x) = =x +4 14. friend start biking from the same location. Your distance d (in miles) after h(x ) = f ( -x) I minutes is given by the function -2 2 x d(1) = 1. Your friend starts biking -2 5 minutes after you. Your friend's distance f is given by the function h(x)=-f(xx) f(1) = d(1 - 5). Describe the f(x) = -3x + 1 transformation from the graph of d to the graph of f. 15. f(x) = -5-x, h(x) = f(-x) 16. f(x) = =x - 2; h(x) = -f(x) 145