Why do these geometrical transformations have different answers?
- 0 votes
Ok so there's 2 questions asking to describe the geometrical transformations from
y=2^x onto y=2^(x+7) +3 (answer: translation by vector (-7, 3) )
y=2^4x onto y=2^(4x-3) (answer: stretch in y direction, scale factor 1/8)
i understand where both answer are coming from but i don't understand why in the first one when the a number is added to the power it is a translation but then in the 2nd a number is took away from the power, this is a stretch? i would of thought they would both be translations or stretches
in an exam how could i tell if it was a strech or a translation?
- 0 votes
if it is was translation it is done to the X ONLY.
so if the second one was to be a translation vector (3,0) it would go to y=2^(4(x-3))
if you don't understand please do just ask, I'm happy to help.
is the first one meant to read y=2^((x+7) +3) or y=2^ (x+7) + 3 (where the 3 is not in the power)
if the first one, then the first one is a translation of vector (-10, 0)
hope this helps:)