Question

Help with hyperbolas

Answer 1

Find the equation of the following hyperbola based on the following information: Vertices: (0, ±2), foci (0, ±4).

Answer 2

so is the distance between the center and the vertices are 2 ,and the distance from the vertices to the foci is 2 as well and four from the center so does a = 2?

Answer 3

@~Gelmhar

Answer 4

the a value that you get from vertices is2 , and the c value from foci is 4,
by using c^2=a^2+b^2 , you will get the value of b , and place the value of a and b to the standard equation of hyperbola

Answer 5

4^2=2^2+b
16=4+b
12=b

Answer 6

b^2=12

Answer 7

ohh so sqrt 12

Answer 8

b=sqrt12

Answer 9

not anymore, just place if to the formula

Answer 10

\[\frac{ x^2 }{ 4 }-\frac{ y^2 }{ 12 }=1\]

Answer 11

\[\frac{ y^2 }{ (2)^2 }-\frac{ x^2 }{ 12}=1\]

Answer 12

yes you got it :D

Answer 13

Thank you :D