Describe the transformation for fx3logx21 as compared to the
Describe the transformation for f(x)=3log(x-2)+1 as compared to the logarithmic parent function graph.
a) The graph is vertically compressed by a factor of 1/3, shifted left 2 uits and down 1 unit
b) The graph is vertically stretched by a factor of 3, shifted right 2 units and up 1 unit
c) The graph is vertically stretched by a factor of 3, shifted left 1 unit and up 2 units
d) The graph is vertically compressed by a factor of 1/3, shifted right 1 unit and down 2 units
Solution
f(x) = 3log( x- 2) +1
Parent function is f(x) = logx
Graph is vertically streteched by a factor 3 ---3logx
horizontall shifted to right by 2 units --- 3log(x -2)
vertically shifted up by 1 unit
Option b

