Math Problem Statement

what's the general equation of this hyperbola: (y+4)^2/16 - (x+3)^2/4 = 1

Solution

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Math Problem Analysis

Mathematical Concepts

Conic Sections
Hyperbolas
Coordinate Geometry

Formulas

Standard form of a vertical hyperbola: (y-k)^2/a^2 - (x-h)^2/b^2 = 1
Equation of a hyperbola centered at (h, k) with vertical transverse axis

Theorems

Properties of hyperbolas
Relationship between the coefficients in the hyperbola equation and the shape of the hyperbola

Suitable Grade Level

Grades 10-12