The option describes graph 4. a vertex at (0, 96), and 5. the center at (0, 0) from the given equation [tex]\dfrac{y^2}{96^2} - \dfrac{x^2}{40^2} = 1[/tex]
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
The given equation is
[tex]\dfrac{y^2}{96^2} - \dfrac{x^2}{40^2} = 1[/tex]
From the given equation,
a = 40
b = 96
(h,k) = (0,0),
The vertices are at (0,96) and at (0, -96).
The curves open upward and downward.
c² = a² + b²
c² = 40² + 96²
c² = 10816
c = 104
Therefore the foci are at (0, -104) and (0, 104).
Hence, the option describes the graph
4. a vertex at (0, 96) is correct.
5. the center at (0, 0) is correct.
Learn more about equations here;
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