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Graph and analyse: y=log3x ----->y=2log3(x-1)

Graph and analyse:

y=log3x ----->y=2log3(x-1)

Math   Advanced-Math   
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Answer #1

Graph of y= logx

To plot y= log (3x), we shrink the graph of y=logx, 3-units along X-axis and get the following

Obviously log(3x)= 0 if x=1/3=.33333

Next, to plot y= 2log3(x-1), we do the following steps

1) shift the grapgh of y=logx, 1- unit toward right.

2) Shrink the graph of y=log(x-1), by 3-unit along X-axis.

3) Finally, we stretch the graph of y=log3(x-1) by 2-unit along Y-axis. Figure of the graph of y= 2log3(x-1) is given below

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