A hyperbola is the set of points in a plane for which the difference of the distance of the points from two fixed points is a constant. The standard equation with the center at (0,0) and the major axis on the X-axis is-
The vertices are (-a,0) and (a,0).
The foci are (-c,0) and (c,0) where
The lines are asymptote.
The standard equation with the center at (a,0) and major axis on the Y-axis is: The vertices are (0,-a) and (0,a). The foci are (0,c) and (0,-c) where The lines are asymptotes.
Sketch the hyperbola:
Divide by 9 to get 1 on the right
The vertices are or (1.7,0) and (-1.7,0).
To find the foci use
So the foci are or (3.46,0) and (-3.46,0). The asymptotes are
Write the equation of the hyperbola, center at the origin which passes
through the point and has vectors (4,0).
Sketch given equation first
Now we have to find so plug in the point
Sketch the hyperbola
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