Find the center and vertices of the hyperbola.

Question

Quizplus · Accepted Answer

The center of the hyperbola can be determined by taking the average of the x-coordinates and y-coordinates of the vertices. Therefore, the center is (3, -2). The vertices of the hyperbola are the points on the transverse axis which are equidistant from the center. Therefore, the vertices are (1, -2) and (5, -2). Choice A is incorrect because the x-coordinate of the center is correct, but the y-coordinate is not. Choice B is incorrect because the x-coordinate of the center is incorrect, and the y-coordinate is also incorrect. Choice D is incorrect because the x-coordinate of the center is incorrect. Choice E is incorrect because the x-coordinate of the center is incorrect, and the y-coordinate is also incorrect.

Find the Center and Vertices of the Hyperbola