Question #247177

Sketch the graph of f(x)=2 log1/3 (x+4)−1 using transformation techniques. 


1
Expert's answer
2021-10-06T15:29:04-0400
y1=log1/3xy_1=\log_{1/3}x

Shift the graph of y1=log1/3xy_1=\log_{1/3}x to the left 4 units


y2=log1/3(x+4)y_2=\log_{1/3}(x+4)

Stretch the graph y2=log1/3(x+4)y_2=\log_{1/3}(x+4) vertically by a factor of 22


y3=2log1/3(x+4)y_3=2\log_{1/3}(x+4)

Shift the graph of y3=2log1/3(x+4)y_3=2\log_{1/3}(x+4) downward 1 unit


y=2log1/3(x+4)1y=2\log_{1/3}(x+4)-1






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