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Exponential graph functions

"Describe the geometrical transformation that maps y=2^4x onto y=2^(4x-3)"
I thought it would just be translation vector (3,0) because the only change is the -3? But the mark scheme says stretch in y direction scale factor 1/8 or (3/4) if written as a vector.
I'm so confused can someone explain
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Original post by Lucofthewoods
"Describe the geometrical transformation that maps y=2^4x onto y=2^(4x-3)"
I thought it would just be translation vector (3,0) because the only change is the -3? But the mark scheme says stretch in y direction scale factor 1/8 or (3/4) if written as a vector.
I'm so confused can someone explain


If y=f(x) then you're saying that f(x3)=24x3 f(x-3)=2^{4x-3} when in fact f(x3)=24(x3)=24x12 f(x-3)=2^{4(x-3)}=2^{4x-12} .
You have to take the 4 into account.
You want f(xa)=24x3 f(x-a)=2^{4x-3} .

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