20190742_27362.jpg - Review hard Transforming The graph of...

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Unformatted text preview: Review hard Transforming The graph of a natural exponential function Question Below is he graph of yz ex Transform? IT To make negraph of yo -extz given The range and domain of ye - ext? using Interval notation . Explanation Background: Here are Some ways To Transform The graph of a function . . 1. Translate he graph horizontaly eig . y = f ( x - C ) we shift ne graph of y = f (x ) To re rightcom 2. Reflect ne graph across an acis ergy = - f (c) , we reflect me graph of y = f ( xc ) a cross re 2 akis y = f ( xx ), we reflect me graph of y= fled across my-axis . 3 , Translate he graph verticaly e . g , y = f Gil t c , we shift The graph of yef (y upward Nofe is is a good idea To perform The Transformations in Te above order. The current problem: yse we are given the graph yzer is has a horizontal asyn tore y- The range is ( 0, 0) re domain ( = 00100) - 4= e2+ 2 we'll use me graph of y= e To graph y=eat ? So we Translate y= ex To me left 2 units The horizontal asymptote is srill yes the range and domain are pe and - yE - e To do This, we reflect he graph of yee?tz across ne -axis . The range "is now (-00, 0), and me domain is saill (- 0s, 09) If moving upward of downward Mostzonfal wynyfore becomes Map, eng upwad 6 units from o ha is y= 6...
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  • Fall '06
  • Moffett
  • Derivative, Complex number, ergy, Mostzonfal wynyfore

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