math problem
@florisalreadytaken
@snowflake0531
@darkknight , do you know what to do?
your lucky day https://questioncove.com/users/darkknight#/updates/606b831e88a1242fd23b3800 describes transformations
whatever part of the tutorial fits the question take a look at those parts, then come back here
im not sure
hmmm c:
are you the same guy I made the other tutorial for on another acc...? so specifically look at what happens when you translate down or up c units, and what vertical compression does
still there klmjnmkj?
ok so we are asked to turn that \( y=e^{-x} \) function into \( f(x)=a b^{x+c}+d \) form -- the steps we are asked are: 1) compress the function by a factor of 2 2) reflect it across the y axis 3) shifted down 3 units lets do it step by step firstly, compress it by 2 -- by looking at the table i attached, we would do it this way: \( y=e^{-x} \Rightarrow y=2e^{-x} \) then reflect it to the y axis -- turn \(-x\) to \((+)x\) \(y=2e^{-x} \Rightarrow y=2e^{x} \) to finish it off, we have to do the horizontal asymptote, which is \(−3\) -- so that would be: \( y=2e^{x} -3 \) and that's it! :D
hmm you want to compress horizontally by 2, so instead of multiplying \[e^x\] by 2 you have to multiply by 1/2
vertically*
oh yes i missed that -- cuz it has to be \( k<1 \) good one.
yw
so it would be \[ y= \frac{1}{2}e^{x} -3 \]
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