section 3.4

#'s 13 & 17

77. a(x) = -x +43.5 Transformation of Functions For the following exercises, sketch a graph of the function as a transformation of the graph of one of the toolkit functions. 27. f (t ) = (t+ 1)2 - 3 28. h(x) = |x - 1| +4 29. k(x) = (x -2)3 - 13.4 Composition of Functions For the following exercises, use each pair of functions to find f(g (30) and g (f (3CD. Simplify your answers. 12- x) = x2 + 1, g(x) = m .f(x):\\/+2,g(x)=x2+3 14. f(x) 2 |x| , g(x) = 53: +1 5 ?) = 6/? gt?) = \"1 16- ?) = x16, g(x) = %+ 6 E ?) = x14, gr?) = 6+4 3.5 Transformation of Functions For the following exercises, describe how the formula is a transformation of a toolkit function. Then sketch a graph of the transformation. \f3.5 Transformation of Functions Algebraic For the following exercises, write a formula for the function obtained when the graph is shifted as described. 5- x) 2 is shifted up 1 unit and to the left 2 units. 2- f(x) 2 |x| is shifted down 3 units and to the right 1 unit