## toxicsugar22 5 years ago (x-4)^2/9-(y+2)^2/16=1 give the exact coordinates of any four points on the hyperbola. and show me how you get this

1. anonymous

wouldn't you just plug in any x or y number and factor to get the corresponding x or y value?

2. anonymous

First, try setting x=0, then y=0, these should be the easiest 2 points to get

3. anonymous

agreed

4. toxicsugar22

yes but can u help me further i tried

5. toxicsugar22

hi can u help me

6. anonymous

do you have a mac?

7. anonymous

if so, open grapher and plot the equation, this will let you see the curve.

8. anonymous

here is the algebra for x=0 $16/9 - (y+2)^{2}/16 = 1$ $5/9 = (y+2)^{2}/16$ $40/9 = (y+2)^{2}$ $y = -2+ (\sqrt{40})/3$

9. anonymous

so that coordinate would be $(0, -2+(\sqrt{40})/ 3)$