What is the vertices 4(x-2)^2-9(y+4)^2=1 ?

The vertices 4(x-2)^2-9(y+4)^2=1 is (5/2 ,-4),(3/2 ,-4)

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vertices 4(x-2)^2-9(y+4)^2=1

vertices

(\frac{5}{2}, - 4), (\frac{3}{2}, - 4)

Solution steps

(h + a, k), (h - a, k)

Calculate Hyperbola properties

4 (x - 2)^{2} - 9 (y + 4)^{2} = 1 :

Right-left Hyperbola with

(h, k) = (2, - 4), a = \frac{1}{2}, b = \frac{1}{3}

(2 + \frac{1}{2}, - 4), (2 - \frac{1}{2}, - 4)

Refine

(\frac{5}{2}, - 4), (\frac{3}{2}, - 4)

What is the vertices 4(x-2)^2-9(y+4)^2=1 ?
The vertices 4(x-2)^2-9(y+4)^2=1 is (5/2 ,-4),(3/2 ,-4)