Find the center and vertices of the hyperbola.
A)center: (3, -2), vertices: (3, -4), (3, 0)
B)center: (-3, 2), vertices: (-3, 0), (-3, 4)
C)center: (3, -2), vertices: (1, -2), (5,-2)
D)center: (2, -3), vertices: (0, -3), (4, -3)
E)center: (-3,2), vertices: (-5, 2), (-1, 2)

Question

Find the center and vertices of the hyperbola. 
A)center: (3, -2), vertices: (3, -4), (3, 0) 
B)center: (-3, 2), vertices: (-3, 0), (-3, 4) 
C)center: (3, -2), vertices: (1, -2), (5,-2) 
D)center: (2, -3), vertices: (0, -3), (4, -3) 
E)center: (-3,2), vertices: (-5, 2), (-1, 2)

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