Maximize q=3xy^2, where x and y are positive numbers such that x+y^2=2

The vertex of this parabola is at (-2, 5). which of the following could be it’s equation? a. y=3(x+2)^2-5 b. y=3(x-2)^2-5 c. y=3(x+2)^2+5 d. y=3(x-2)^2+5

Me, the vertices of quadrilateral coat are c(2,0), o(7,0), a(7,2) and t(2,2). prove that coat is a rectangle.

How many different three-digit numbers can be formed using the digits 1 comma 2 comma 9 comma 6 comma 4 comma 3 comma and 8 without repetition? for example, 664 is not allowed.