## anonymous one year ago Will medal

1. anonymous

Write the equation of a hyperbola with vertices at (-7, 0) and (7, 0) and co-vertices (0, -4) and (0, 4).

2. ybarrap

The equation of this (east-west opening) hyperbola is $$\frac{y^2}{a^2}-\frac{x^2}{b^2}=1$$ |dw:1436556875208:dw| Now the key is the vertex and the co vertex coordinates: Vertex has coordinate: (-a,0),(a,0) co vertex has coordinate: (0,b),(0,-b) From this you can see what a and be should be. https://en.wikipedia.org/wiki/Hyperbola http://www.clarkeconsult.com/alg2/Chapter10/A2CH10L4.pdf Does this make sense?

3. ybarrap

*Correction: Equation for east-west should be- $$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$$

4. anonymous

It makes perfect sense! Thank you so much!

5. ybarrap

You're welcome