using translation,reflection,dilations.contractions, determine the function of 3-f(4x)
g(x)=3-f(4x)
using translation,reflection,dilations.contractions,
Well it would be contracted to one quarter its original width.
Then it would be reflected about the x axis. That is reflected about y=0
Then the whole graph would be translated upwards 3 units.
Here are a couple of examples:
https://www.desmos.com/calculator/egeybmykil
https://www.desmos.com/calculator/0r2zgjpqul
Understanding this type of thing is key to being able to draw graphs yourself.
This is how I would always free hand draw any complicated graph - I'd build it up in stages like this.
g(x)=3-f(4x)
using translation,reflection,dilations.contractions,
Well it would be contracted to one quarter its original width.
Then it would be reflected about the x axis. That is reflected about y=0
Then the whole graph would be translated upwards 3 units.
Here are a couple of examples:
https://www.desmos.com/calculator/egeybmykil
https://www.desmos.com/calculator/0r2zgjpqul
Understanding this type of thing is key to being able to draw graphs yourself.
This is how I would always free hand draw any complicated graph - I'd build it up in stages like this.