How would u find the equation for this hyperbola-
4x^2-y^2=0 ????

Question

How would u find the equation for this hyperbola-
4x^2-y^2=0 ????

oaktree · Answer

That's not a hyperbola. It's a normal function. Add y^2: y^2=4x^2. Square root, and y=2x.

amistre64 · Answer

+- ...

amistre64 · Answer

its a degenerate hyperbola

anonymous · Answer

but i'm trying to make a hyperbola out of it..

anonymous · Answer

who you calling a degenerate?

amistre64 · Answer

ellen lol

anonymous · Answer

so how would i do it...

anonymous · Answer

ho ho ho

amistre64 · Answer

y = +- 2x

amistre64 · Answer

a degenerate hyperbola is an X shape

anonymous · Answer

$$4x^2=y^2$$
$$y=2x \text{ or } y = -2x$$ a nice pair of lines, what amistre said
degeneration X

anonymous · Answer

ok. that makes sense buthow would i graph it...

amistre64 · Answer

with 2 lines; y = 2x and y=-2x

anonymous · Answer

k and the center would be the origin?

amistre64 · Answer

well, both y intercepts amount to 0, so yes

amistre64 · Answer

http://www.wolframalpha.com/input/?i=y%5E2%3D4x%5E2

anonymous · Answer

cool. and would there be a foci and/or vertices?

amistre64 · Answer

the verts touch and are at the same points; which is why this thing is degenerate; youd have to play about for the focuses tho; i cant be sure of them unless they are at the center as well

anonymous · Answer

k thank u sooooooo much! ur awesome!

amistre64 · Answer

im awesome AND i smell like irish spring lol

anonymous · Answer

haha random but awesome :)