Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,459 questions

17,854 answers

1,446 comments

811,181 users

Find an equation of the hyperbola.

0 votes

Find an equation of the hyperbola.

Center: (0, 0)

Vertex: (0, 2)

Focus: (0, 4)

asked Feb 17, 2015 in CALCULUS by anonymous
reshown Feb 17, 2015 by goushi

1 Answer

0 votes

Step 1:

The hyperbola center is , focus is image and vertex is image.

Observe the points, here coordinates are equal.

So, the hyperbola has a vertical transverse axis and its standard form of the equation is

.

Where, is the center.

is the distance between center and vertex.

is the distance between center and focus.

.

The distance between center and vertex is image.

The distance between center and focus is image.

image

Substitute the values of imageimage and image in standard form of the equation.

image

The equation of hyperbola is image.

Solution:

The equation of hyperbola is image.

answered Feb 21, 2015 by Sammi Mentor
reshown Feb 22, 2015 by casacop

Related questions

...