# Thread: 3 problems to prep me for a quiz tomorrow, help appreciated

1. ## 3 problems to prep me for a quiz tomorrow, help appreciated

We're covering conic sections, so far it's just circles ellipses and hyperbolas. I have one question regarding graphs, and two regarding Hyperbolas. I don't have any clue where to start with these, so even just telling me the basic formula would be much obliged.

Graph the following inequality. X^2-6y^2<36

I know for this one you just start off diving by 36, getting X squared over 36, and Y squared over 6, but after that I'm lost on how you graph it.

Give the vertices, foci, and equations of asymptotes for the hyperbola Y^2/16- X^2/81=1

Find an equation of the hyperbola with foci (0 +/-6) and with a difference of focal radii of 8.

The last two Im totally stumped on.

2. ## X^2-6y^2<36 and other hyperbolas

[(x-h)^2 / a^2] - [(y-k)^2 / b^2] = 1 (or < 1 in this case).
h and k are both zero in this case.

Foci: (h +|- c, k)
Vertices: (h +|- a, k)
Asymptotes: (y - k) = (+|-b/a)(x-h)

I have never drawn as an inequality, but it seems clear enough.

If you hang around, someone might just send a picture generated by software. Otherwise, it seems reasonable to shade parts of the graph that would satisfiy the constraints, and make the boundaries dotted lines.