How do I graph x^2=4y^2?
Would someone mind making an x and y chart and showing me?

Question

How do I graph x^2=4y^2?
Would someone mind making an x and y chart and showing me?

zzr0ck3r · Answer

first graph $y_1=\sqrt{\dfrac{x^2}{4}}$ and then on the same graph, graph $$y_2=-\sqrt{\dfrac{x^2}{4}}$$

zzr0ck3r · Answer

Because what you put is not a function, so we break it up into functions :)

anonymous · Answer

x^2-4y^2=0
(x-2y)(x+2y)=0
so you should draw x-2y=0 and x+2y=0 .

anonymous · Answer

look at this http://www.wolframalpha.com/input/?i=plot+x^2%3D4y^2

anonymous · Answer

Oh...how do you tell when to break up equations into two functions?

ganeshie8 · Answer

both look good to me.. amirreza's even better...

zzr0ck3r · Answer

sorry I read something completely different on my phone ....

ganeshie8 · Answer

thats zero product property @one2345 

if you have an equation like  :  $a*b = 0$,
then it must be the case that either $a = 0$  or $b=0$ 

(or both of them equal to $0$)

anonymous · Answer

Oh I see, thank you so much.