The graph of a hyperbola is represented by the equation (x+6)^2/9-(y-4)^2/4= 1. The vertices are (–9, 4) and (–3, 4)
What is hyperbola?
A hyperbola is the locus of a point that moves so that its distance from a fixed point is in a constant ratio, greater than one, to its distance from a fixed-line.
As we know the general formula of the hyperbola is:
(x-h)²/a² - (y-k)²/b² = 1,
where
(h,k) is the center
a is the semi-major axis
b is the semi-minor axis
In this situation, the equation is:
(x+6)^2/9-(y-4)^2/4= 1.
The center is (-3, 4)
a = 3
b = 2
The vertices are (–9, 4) and (–3, 4)
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