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
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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) (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., \ =\ f(bx))
Vertical stretch: multiply the entire function by 
to vertically stretch the function by a factor of 
, i.e., \ =\ af(x))
Reflection in 
-axis: \ =\ f(-x))
Translation left by 
: \ =\ f(x\,+\,h))
Translation down by 
: \ =\ f(x)\ -\ k)
John
My calculator said it, I believe it, that settles it
From
I > Ø
Answer by ikleyn(52798) (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.
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