graph the equation. identify the conic sequence, any lines of symmetry, and the domain and range.

Question

anonymous · Answer

$$x^2+y^2=4$$

anonymous · Answer

help @whpalmer4

whpalmer4 · Answer

that's a conic section, not sequence

whpalmer4 · Answer

do you know the general formula for a circle?

whpalmer4 · Answer

or how to describe the points that make up a circle?

anonymous · Answer

um not really and lol my bad

whpalmer4 · Answer

Well, a circle is the set of points that are all the same distance from its center, correct?

anonymous · Answer

yes

whpalmer4 · Answer

Okay.  Glad we agree :-)
|dw:1394493221246:dw|

whpalmer4 · Answer

|dw:1394493283218:dw|

Pythagorean theorem says that $$x^2+y^2 = r^2$$right?

anonymous · Answer

yes

anonymous · Answer

i think

whpalmer4 · Answer

Okay, so that's where the equation for a circle comes from, assuming the center of the circle is at the origin (0,0).  If it isn't, then the form becomes

$$(x-h)^2 +(y-k)^2 = r^2$$where the circle's center is at $(h,k)$.  I think you can easily convince yourself that that more general equation simplifies to the one you have when $(h,k)=(0,0)$.

anonymous · Answer

yeah