Find the Vertex and Focus of the Parabola $( y - 3 ) ^ { 2 } + 8 ( x + 6 ) = 0$

question 82

Multiple Choice

Find the vertex and focus of the parabola. $( y - 3 ) ^ { 2 } + 8 ( x + 6 ) = 0$

• A)vertex: \(( 6 , - 3 )\) focus: \[( 6,5 )\]
• B)vertex: \(( 6 , - 3 )\) focus: \[( 6 , - 11 )\]
• C)vertex: \(( 6 , - 3 )\) focus: \(( 4 , - 3 )\)
• D)vertex: \(( - 6,3 )\) focus: \(( - 8,3 )\)
• E)vertex: \(( - 6,3 )\) focus: \(( - 6 , - 3 )\)

Recognize how different utility functions affect economic outcomes in a pure exchange economy.

Identify the conditions under which a Pareto optimal allocation is also a competitive equilibrium.

Understand the role of initial endowments in determining allocations in pure exchange economies.

Grasp the concept of utility functions and how they influence consumer choice decisions.