Question

Question 9: Identify the co-vertices. *A. (-3, 4) and (-3, -2)B. (0, 1) and (-6, 1)C. (1, 1) and (-7, 1)D. (4, -3) and (-2, -3)

Answer 1

The general equation for a hyperbola is

`((y-h)^2)/(b^2)\text{ + }((x-k)^2)/(a^2)\text{ = 1}`

The equation we are considering is a hyperbola with the following parameters:

`\begin{gathered} (k,\text{ h) = (-3 , 1)} \\ a^2\text{ = 9 } \\ \text{a = 3} \\ b^2\text{ = 16} \\ b\text{ = 4} \end{gathered}`

The co-vertices can be obtained by locating the vertices along the x-axis

`\begin{gathered} (-3\text{ + 3, 1) and (-3 -3 , 1)} \\ (0,\text{ 1) and (-6 , 1)} \end{gathered}`

This corresponds to option B