Question 1190826
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Horizontal compression: multiply the function's input value by *[tex \Large b\ >\ 1] to obtain horizontal compression by a factor of *[tex \Large \frac{1}{b}], i.e., *[tex \Large g(x)\ =\ f(bx)]


Vertical stretch: multiply the entire function by *[tex \Large a\ >\ 1] to vertically stretch the function by a factor of *[tex \Large a], i.e., *[tex \Large g(x)\ =\ af(x)]


Reflection in *[tex \Large y]-axis:  *[tex \Large g(x)\ =\ f(-x)]


Translation left by *[tex \Large h]: *[tex \Large g(x)\ =\ f(x\,+\,h)]


Translation down by *[tex \Large k]: *[tex \Large g(x)\ =\ f(x)\ -\ k]


																
John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
*[illustration darwinfish.jpg]

From <https://www.algebra.com/cgi-bin/upload-illustration.mpl> 
I > Ø
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