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Question

The equation of the hyperbola shown below can be written as (x - h)^2a^2 - (y - k)^2b^2 = 1.Find h + k + a + b. FIGURE

Accepted Answer

The center of the hyperbola is (-1,3). The distance from the center to a vertex is a = 2. The slope of the asymptotes are 32, so b = 3. Thus, h + k + a + b = (-1) + 3 + 2 + 3 = 7.