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I thought the answer would be [3,0] in a vector but on the mark scheme it says 'stretch in y direction, scale factor 1/8'.
does anyone know why?
Hi there, the reason why it's not a translation of (3,0) is because the x is a power which makes things more complicated. You need to treat y=2^(4x-3) as
y= 2^(4x) multiply 2^(-3)
which gives you y=2^(4x-3) when simplified.
This then gives you
y= 2^(4x) multiply 1/8
which is the same as y=(1/8)2^(4x)
And it is clear to see that the tranformation from the graph of y=2^(4x) to y=2^(4x-3) is a stretch in the y direction by a scale factor of 1/8.
Hope this clarifies everything for you :D