Question 1186316
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Previously solved....<br>
The vertices are the endpoints of the transverse axis; the transverse axis is horizontal, so the branches of the hyperbola open left and right.<br>
The general form of the equation of a hyperbola with center (h,k) and branches opening left and right is<br>
{{{(x-h)^2/a^2-(y-k)^2/b^2=1}}}<br>
To find the equation from the given information, you need to determine the center (h,k) and the values of a^2 and b^2.<br>
(1) The center (h,k) is the midpoint of both the transverse axis and the conjugate axis
(2) The length of the transverse axis is 2a; the length of the conjugate axis is 2b<br>
You now have all the pieces you need to write the equation.<br>