6.4 Practice * DON'T WRITE ON THIS* In Exercises 1-8, describe the transformation of frepresented by g. 1 . f (x ) = ex, g(x) = ex - 4 2. f(x) = 4*, 8(x) = 4*+2 3. f(x) = ex, 8(x) = ex -5 4. f ( x ) = (3) ", 8 ( x) = (3 ) + 2 5. f (x) = 3*, 8(x) = 32x - 1 6. f(x) = ex, 8(x) =-ex+2 7. f ( x ) = ex, g(x) = e- 4x+1 8. f ( x) = (3)', 8( x) = (3)2 + 3 In Exercises 9 and 10, describe the transformation of f represented by g. Graph each function. Determine when g is positive, negative, increasing, or decreasing. Then describe the end behavior of g. (graph it using a graphing calculator or use Desmos on your phone to help) 9. f(x) = log4 x, g(x) = log4 (x - 2) + 4 10. f(x) = 10g1/3 x, 8(x) = -log13(-x) In Exercise 11-12, describe the transformation from the graph of f to the graph of g. 11. X 3 4 5 6 12. X 2 4 6 8 f (x ) 0.95 1 1.04 1.08 f( x) 0.25 0.06 0.02 g ( x) -0.05 0 0.04 0.08 g ( x) 3 0.75 0.18 0.06 V, S by J In Exercises 13-15, write a rule for g that represents the indicated transformations of the graph of f. 13. f(x) = ; reflection in the y-axis, followed by a horizontal shrink by a factor of 2 and a translation 4 units down 14. f(x) = ex; translation 2 units left and 3 units up, followed by a vertical stretch by a factor of 2 15. f(x) = 10g12 x; translation 5 units right and 2 units down, followed by a reflection in the x-axis