The statement that is true about the given hyperbola is the point (3, 0) is a vertex. The correct option is B.
What are the Focus, Vetex, and Transverse axis of a hyperbola?
Focus: Each hyperbola has two critical locations known as foci. In fact, the curve of a hyperbola is defined as the set of all points with the same difference in distance to each focus.
Vertex: The vertex of a hyperbola is the point at which the hyperbola intersects its axis. The hyperbola intersects the axis at two unique locations, hence it has two vertices.
The transverse axis of a hyperbola: The transverse axis is a line segment with vertices as ends that travels through the centre of the hyperbola. The foci are located on the transverse axis line. The co-vertices serve as the endpoints of the conjugate axis, which is perpendicular to the transverse axis.
For the given graph of the hyperbola, the statement that is true is about the vertex of the hyperbola. therefore, the statement that is correct about the hyperbola in the given graph is that the point (3, 0) is a vertex, as it is the point of the hyperbola that cuts the x-axis of the graph.
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