The profit that a company makes selling an item (in thousands of dollars) depends on the price of the item (in dollars). If p is the price of the item, then three equivalent forms for the profit are: Standard form: −2p^2+24p−54
Factored form: −2(p−3)(p−9)
Vertex form: −2(p−6)^2+18.

A)−2p^2+24p−54
B) −2(p−3)(p−9)
C)−2(p−6)^2+18
Match each equivalent form to the description of the property it best reveals about the company.

the prices that give a profit of zero dollars

the profit when the price is zero

the price that gives the maximum profit