I've been thinking more about this question.
When the graph of a certain function f(x) is
shifted 2 units to the right
and stretched vertically by a factor of 2 (meaning that all y-coordinates are doubled), the resulting figure is identical to the original graph. Given that f(0)=0.1, what is f(10)?
From my previous answer I have:
x | 0 | 2 | 4 | 6 | 8 | 10 |
f(x) | 0.1 | 0.2 | 0.4 | 0.8 | 1.6 | 3.2 |
These points satisfy the equation
\(f(x)=0.1*2^{(n/2)}\)
I graphed this to check it worked properly. It did :)
https://www.desmos.com/calculator/ugcl3yupfo
I am almost sure that if I think about it hard enough I could learn something more about transformations from this question ......