Exponential curve transformations graphing advice

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LukeWatson4590
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Hello, I have been revising graphing exponential functions, specifically transforming the curve y=e^x.
I have drawn and attached graphs of all of the transformations. The questions asks to determine the transformations that map the curve y=e^-x onto the following curves.

1. y=e^3x
I believe the transformation of the curve y=e^x to y=e^3x is a stretch of scale factor 1/3 parallel to the x-axis.

2. y=e^-x
I believe the transformation of the curve y=e^x to y=e^-x is a reflection in the y-axis.

3. y=1+e^x-2
I believe the transformation of the curve y=e^x to y=1+e^x-2 is a translation of (2,1).

4. y=e^1-x
I believe the transformation of the curve y=e^x to y=e^1-x is a translation of (-1,0) and a reflection in the y-axis.

Please could someone overlook my graphs and the statements I have made determining the transformations of y=e^x to offer advice whether I can improve upon plotting my graphs or describing the transformations.
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Last edited by LukeWatson4590; 1 year ago
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mqb2766
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Looks ok. It helps to put brackets round the exponents when posting.
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LukeWatson4590
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(Original post by mqb2766)
Looks ok. It helps to put brackets round the exponents when posting.
Thank you for your reply, I will take note to do so in the future. Can I just check that y=e^(x) to y=e^(1-x) is a translation of (-1,0) and a reflection in the y-axis, just that I was unsure about describing this transformation ?

Also, have I used the brackets around the exponents correctly? 😁👍
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RDKGames
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(Original post by LukeWatson4590)
Thank you for your reply, I will take note to do so in the future. Can I just check that y=e^(x) to y=e^(1-x) is a translation of (-1,0) and a reflection in the y-axis, just that I was unsure about describing this transformation ?

Also, have I used the brackets around the exponents correctly? 😁👍
Correct. Order matters here, so what you described is translation followed by reflection.

If going the other way, then the description is ever so slightly different.
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LukeWatson4590
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(Original post by RDKGames)
Correct. Order matters here, so what you described is translation followed by reflection.

If going the other way, then the description is ever so slightly different.
Thank you for the clarification I really appreciate it 😁✌️
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