SOLUTION: Given the functions f(x)=1/x Write the equation g(x) after the following transformations, Horizontal compression by the factor of 1/5 Vertical stretch by the factor of 7 Refle

Algebra ->  Functions -> SOLUTION: Given the functions f(x)=1/x Write the equation g(x) after the following transformations, Horizontal compression by the factor of 1/5 Vertical stretch by the factor of 7 Refle      Log On


   

Question 1190826: Given the functions f(x)=1/x Write the equation g(x) after the following transformations,
Horizontal compression by the factor of 1/5
Vertical stretch by the factor of 7
Reflection in the y-axis
Translation 11 units left and 9 unit down

Found 2 solutions by Solver92311, ikleyn:
Answer by Solver92311(821) About Me  (Show Source):
You can put this solution on YOUR website!


Horizontal compression: multiply the function's input value by to obtain horizontal compression by a factor of , i.e.,

Vertical stretch: multiply the entire function by to vertically stretch the function by a factor of , i.e.,

Reflection in -axis:

Translation left by :

Translation down by :


John

My calculator said it, I believe it, that settles it

From
I > Ø

Answer by ikleyn(52797) About Me  (Show Source):
You can put this solution on YOUR website!
.

Such formulation "Horizontal compression by the factor of 1/5" is not used in Math and does not work.

The term "horizontal compression of the plot" is used with the factor greater or equal to 1, ONLY.


See these internet sources

https://www.storyofmathematics.com/horizontal-compression#:~:text=Horizontal%20compression%20depends%20on%20the,may%20have%20a%20different%20domain.

https://courses.lumenlearning.com/waymakercollegealgebra/chapter/compressions-and-stretches/

https://study.com/learn/lesson/vertical-horizontal-stretch-compression-function.html

where these terms are discussed in very detailed manner.