Write the transformation form of the equation for the cosine function that has been compressed vertically by a factor of 1/2, stretched horizontally by a factor of 4, and shifted down 1 unit.

Rewrite the following quadratic functions in intercept or factored form. show your work. f(x) = 3x^2 - 12

Create a graph for the demand for starfish using the following data table: quantity/price of starfish quantity (x axis) of starfish in dozens price (y axis) of starfish per dozen 0 8 2 6 3 5 5 2 7 1 9 0 is the relationship between the price of starfish and the quantity demanded inverse or direct? why? how many dozens of starfish are demanded at a price of five? calculate the slope of the line between the prices of 6 (quantity of 2) and 1 (quantity of 7) per dozen. describe the line when there is a direct relationship between price and quantity.

In a singing competition, there are 150 participants. at the end of each round, 40% of the participants are eliminated. how many participants are left after n rounds?