## 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. toxicsugar22

hi can u help me

2. watchmath

For $$y=-2$$ we have $$(x-4)^2=9$$. Hence$$x-4=\pm 3$$. So $$x=4\pm 3$$. Then $$(7,-2),(1,-2)$$\) are on the hyperbola. For $$y=2$$ we have $$(x-4)^2/9=2$$. Then $$(x-4)^2=18$$. Hence $$x=4\pm 3\sqrt{2}$$. So another two points are $$(4+3\sqrt{2},2)$$ and $$(4-3\sqrt{2},2)$$.

3. toxicsugar22

thnaks u can also find these points on the graph

4. toxicsugar22

can u help me with 2 more

5. toxicsugar22

can u help me