Transformation Question

Just wanted to check an answer I got :)


What series of transformations maps:

y = cos (x)

to

y = 2 - 6 cos (2x - pi)


Thanks :D

Well you'd be taking y=cos(x) and:

1. double it's period, y=cos(2x)
2. shift it pi to the right, y=cos(2x-pi)
3. stretch it by factor 6 in the y-direction, y=6cos(2x-pi)
4. reflect it in the x-axis, y=-6cos(2x-pi)
5. shift it 2 upwards, y=2-6cos(2x-pi)

Am I the only one who despises the "reflection" and instead just considers it a negative stretch?

thanks TMWC :D

yeah, reflections are :|

I think of little else. :p