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Mathematics 15 Online
darkknight:

describe how to transform the graph of f into the graph of h(x) = e^{x} Sketch the graph by hand and support your answer w/ a grapher. f(x)= e^(3x-4)

imqwerty:

\(f(x) = e^{3x-4}\)

nicolegunter:

@darkknight i sent u it in ur dms

mhchen:

\[e^x=e^{3x-2x-4+4}=(e^{3x-4})(e^{-2x+4})\]

darkknight:

l

darkknight:

thx

darkknight:

i'm still confused

imqwerty:

1)shift the graph \(\Large e^{3x-4}\) 4/3 units to the right to get \(\Large e^{3x}\) 2)idk how to say this but- stretch the graph by a factor of three along the x-axis? to get \(\Large e^x\) https://www.desmos.com/calculator/ilkogfes74

darkknight:

just got it, thanks though

darkknight:

shift to left by 4/3 units and horizontal expansion by dilation factor of 3

imqwerty:

\(\color{#0cbb34}{\text{Originally Posted by}}\) @darkknight shift to left by 4/3 units and horizontal expansion by dilation factor of 3 \(\color{#0cbb34}{\text{End of Quote}}\) Yup i made a typo in my previous comment, it should be 4/3 to the *left.

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