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.
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