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# he function f(x)=logx is transformed into the equation f(x)=log(1/4x).

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The function  f(x)=logx  is transformed into the equation  f(x)=log(1/4x).

Select from the drop-down menus to correctly identify the parameter and the effect the parameter has on the parent function.

The function f(x)=log(1/4x)  is a ______________  of the parent function by a factor of ____________.

For the first blank space the options are HORIZONTAL STRETCH or HORIZONTAL COMPREHENSION

For the second blank the options are 0.25 or 1 or 4.

For this one I am confused, I tried doing it on my own but I couldn't.

Nov 6, 2018
edited by jjennylove  Nov 6, 2018

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This is kind of counter-intuitive....but......

The  "1/4"   means that we have a horzontal stretch of the original  function  by a factor of 4.....  [ the reciprocal of the fraction ]

In general  we have   y = log (b x)

When b > 0 but  < 1.....we have  a horizontal stretch of y = log (x)

When b > 1......we have a horizontal "compression"   of y = log(x)....   [ not, "comprehension" ]

So... y = log (4x)    has a compression  and  the compression  factor is a reciprocal of 4  =  1/4

Look at the graphs, here : https://www.desmos.com/calculator/tbguagxjhp   Nov 6, 2018
edited by CPhill  Nov 6, 2018
edited by CPhill  Nov 6, 2018
edited by CPhill  Nov 6, 2018
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Oh yes! I remember this now I went over it in my lesson Thank you! I apprecitate it.

jjennylove  Nov 6, 2018
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No prob, Jenny.....!!!   CPhill  Nov 6, 2018