Page 109 - Calc for the Clueless

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For the same reason the foci, always on the axis through the vertices, are (-7,6 ± 22 ). The asymptotes and the
sketch are the same!!

Example 23—

2
Sketch and discuss 25x - 4y +50x - 12y +116 = 0.
2
For the last time we will complete the square, again a little bit differently.

Center: (-1,-3/2). Vertices: . Foci: . Asymptotes: (x +
1).

Sometimes we have a puzzle. Given some information, can we find the equation? You must always draw the
picture and relate the picture to its equation.

Example 24—