Math 101 Lesson 1 4 HW Name 1 Write a function g x that transforms the given basic function as indicated c f x x Reflect across the y axis reShift 4 units left reflect across Shift right 1 unit and down 2 flect across the x axis and shrink vertically by a factor of the x axis and stretch verti units 2 cally by a factor of 2 3 a f x x2 b f x 1 x 2 Describe the transformation indicated by the given equation a f x 2 x 4 1 b g x x 1 3 2 4 c h x x 2 5 1 3 Write the equations for the graphs shown below a b c 8 6 4 2 8 6 4 2 2 0 2 4 6 6 5 4 3 2 1 6 4 3 2 1 1 2 3 4 6 4 2 6 4 2 2 01 2 3 4 5 6 7 0 2 4 4 6 4 Use the graph of f x below and the rules for combining multiple transformations to sketch Section 2 5 the graph of g x 12 f x 1 2 Describe the transformation in words Piecewise Defined Functions 10 8 6 4 2 0 10 8 6 4 2 0 2 4 6 8 10 2 4 6 2 3 4 5 6 7 8 9 8 10 and f 8 when f x 1 e domain e range The graph of a function f x is shown Use transformations to sketch the graph of iecewise function 7 a f x 1 3 b 2f x 2 1 c f x 2 if 4 x 0 if 0 x 3 x 3 if x 3 o the Walden Pond State College course catalog Tuition for lower division 0 54 ergraduate students who are Walden residents taking anywhere from 12 to 16 credit same a total of 3 620 per semester Tuition is 315 per credit hour for fewer than 12 for each credit over 16 a piecewise function T that gives the tuition cost as a function of credit hours taken that the maximum number of credit hours that a lower division undergraduate student 2 6