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

1. zzr0ck3r

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

2. zzr0ck3r

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

3. anonymous

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

4. anonymous
5. anonymous

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

6. ganeshie8

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

7. zzr0ck3r

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

8. ganeshie8

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 $$0$$)

9. anonymous

Oh I see, thank you so much.