## anonymous one year ago How would I solve this?

1. anonymous

2. anonymous

$\large \frac{(x-h)^2}{a^2}-\frac{(y-k)^2}{b^2} \longrightarrow \frac{(x-(-4))^2}{3^2} -\frac{(y-(-3))^2}{4^2}=1$

3. anonymous

On the left you have the equation of a hyperbola, and the right arrow is what the equation of the hyperbola translates into, which is your function

4. anonymous

To find the foci and vertices, we need to identify what the center is. center : $$(h,k)$$

5. anonymous

That's wrong, sorry.

6. anonymous

hmm

7. anonymous

?...

8. anonymous

-4,-3

9. anonymous

Good.

10. anonymous

Now the foci lie along the horizontal transverse axis, what you know as the major axis. Therefore to find their location, we use the formula $(h+c),k ~,~ (h-c),k~~, c^2=a^2+b^2 \longrightarrow c=\sqrt{a^2+b^2}$

11. anonymous

c=5

12. anonymous

(1, -3,) (-9,-3)

13. anonymous

To find the vertices, you use the equation ${(h+a),k} ~,~ {(h-a),k}$

14. anonymous

(-1, -3) (-7,-3)

15. anonymous

?

16. anonymous

Yes, c = 5. You are right.

17. anonymous

Thank you, could you help me with one more?

18. anonymous

Sure, i can try

19. anonymous

Thanks :) This is like the opposite I guess.

20. anonymous

@Jhannybean