Find the equation of the hyperbola shown below What is the equation for this hyperbola? Select...

Question

Question

Answer 1

Answer #1

Answer)

As we can see from the graph,this Hyperbola's transverse axis is on x-axis and conjugate axis is on y-axis.Therefore,this is a horizontal Hyperbola.

Standard equation of horizontal hyperbola is of the form:

(x-h)2/a2 - (y-k)2/b2 = 1

where (h,k) is the coordinate of the vertex.

In our graph vertex is at (0,0),that means (h,k) is (0,0).

Therefore, equation of this hyperbola will be of the form:

x2/a2 - y2/b2 = 1

Now, from the graph it is clearly visible that a=5 then a2 = 25

and also we can see that b=6

Therefore, b2 = 36

Hence , correct option is option (B) and equation of Hyperbola : x2/25 - y2/36 = 1

Answer 2

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