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.

jjennylove
Nov 6, 2018

#1**+3 **

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

CPhill
Nov 6, 2018

#2**+1 **

Oh yes! I remember this now I went over it in my lesson Thank you! I apprecitate it.

jjennylove
Nov 6, 2018