Answer:
- Vertices:(-14,4) and (10,4).
- Foci: (–17, 4) and (13, 4)
Step-by-step explanation:
Given the equation of the hyperbola
Since the x part is added, then
Also, this hyperbola's foci and vertices are to the left and right of the center, on a horizontal line paralleling the x-axis.
From the equation, clearly the center is at (h, k) = (–2, 4). Since the vertices are a = 12 units to either side, then they are at (-14,4) and (10,4).
From the equation
The foci, being 15 units to either side of the center, must be at (–17, 4) and (13, 4)