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

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,

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