Sunday

January 25, 2015

January 25, 2015

Posted by **Anonymous** on Monday, March 24, 2014 at 9:45am.

- Math - PreCalc (12th Grade) -
**Steve**, Monday, March 24, 2014 at 11:17amthere are lots of them, depending on the eccentricity. Recall that an hyperbola with equation

y^2/a^2 - x^2/b^2 = 1

has vertices at (0,±a) and foci at (0,±c) where c = ae and e>1 is the eccentricity.

Also, recall that c^2 = a^2 + b^2

Here, we have the center of the graph at (2,2) with c=5. So, we can pick a and b as long as a^2+b^2 = 5^2. A happy relation, no? How about a=3,b=4?

So, your hyperbola is shifted some, making its equation

(y-2)^2/9 - (x-2)^2/16 = 1

Verify this at

http://www.wolframalpha.com/input/?i=plane+curve+%28y-2%29^2%2F9+-+%28x-2%29^2%2F16+%3D+1

- Math - PreCalc (12th Grade) -
**Steve**, Monday, March 24, 2014 at 11:18amor, to see the foci plotted,

http://www.wolframalpha.com/input/?i=foci+of+%28y-2%29^2%2F9+-+%28x-2%29^2%2F16+%3D+1

**Answer this Question**

**Related Questions**

Precalc - Find the standard form of the equation of the hyperbola with the given...

Algebra 2 - Choose the equation that best represents an ellipse for the given ...

hyperbolas - Find an equation for the hyperbola whose graph has vertices (+/-5,0...

maths - What is the equation of hyperbola whose foci at F(-8,0) and length of ...

maths - What is the equation of hyperbola whose foci at f(-8,0) & length of ...

Precalc - Write the equation of the hyperbola whose center is at the origin and ...

Math - PreCalc (12th Grade) - If Sn represents the sum of the squares of the ...

Math, precalculus - Write an equation for the hyperbola with vertices (7,5),(-5,...

math - Write an equation for the hyperbola. It's center is (0,0). Foci:(-4,0), (...

math - Write an equation for the hyperbola. It's center is (0,0). Foci:(-4,0), (...