To write: the equation of the hyperbola.
Given information:
The vertices of the hyperbola are at
Formula Used:
Standard equation of an Hyperbola
Equation | Transverse Axis | Vertices | Asymptotes |
Horizontal | |||
Vertical |
The foci of the hyperbola lie on the transverse axis at a distance of c units from the center, where
Explanation:
Center of the hyperbola is at the middle of the two vertices.
Since, the x co-ordinates are same, so it has vertical transverse axis and has the form:
The center is between -3 and 1.
So, the center is at
Distance from center to vertex a :
The foci of hyperbola is at
Now, find the distance from the center to co-vertex b .
Now susbtitute these values in the standard equation of hyperbola.
Chapter 8 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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