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Mathematics 17 Online
klmjnmkj:

math problem

klmjnmkj:

1 attachment
klmjnmkj:

@florisalreadytaken

klmjnmkj:

@snowflake0531

Imagine:

@darkknight , do you know what to do?

darkknight:

your lucky day https://questioncove.com/users/darkknight#/updates/606b831e88a1242fd23b3800 describes transformations

darkknight:

whatever part of the tutorial fits the question take a look at those parts, then come back here

klmjnmkj:

1 attachment
klmjnmkj:

im not sure

Alexis1415:

hmmm c:

darkknight:

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

darkknight:

still there klmjnmkj?

Florisalreadytaken:

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

1 attachment
darkknight:

hmm you want to compress horizontally by 2, so instead of multiplying \[e^x\] by 2 you have to multiply by 1/2

darkknight:

vertically*

Florisalreadytaken:

oh yes i missed that -- cuz it has to be \( k<1 \) good one.

darkknight:

yw

Florisalreadytaken:

so it would be \[ y= \frac{1}{2}e^{x} -3 \]

katelyn865:

3

katelyn865:

33

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