Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction.

The graph of fx shown below has the same shape as the graph of gx = 3x^2 but is shifted down 2 units

Provide an example of a trigonometric function and describe how it is transformed from the standard trigonometric function f(x) = sin x, f(x) = cos x, or f(x) tan x using key features.

Amuffin recipe, which yields 12 muffins, calls for cup of milk for every 1 cups of flour. the same recipe calls for cup of coconut for every cup of chopped apple. to yield a batch of 30 muffins, how much flour will be needed in the mix?