# Find the Values of an Ellipse with the given equation

by Zachary
(CA, USA)

How do i find these values? (see picture for equation and questions)

### Comments for Find the Values of an Ellipse with the given equation

 May 11, 2012 Values of an Ellipse by: Staff Question: by Zachary (CA, USA) How do i find these values? (see picture for equation and questions) Answer: x²/b² + y²/a² = 1 since a > b, this is a vertical ellipse. The major axis is vertical, and the minor axis is horizontal. Center at (0, 0) Vertices of major axis: (0, a) and (0, -a) Vertices of minor axis: (b, 0) and (-b, 0) Foci: (0, c) and (0, -c) c² = a² - b² c = √(a² - b²) -------------------------------------------- x²/4² + y²/5² = 1 since 5 > 4, this is a vertical ellipse. The major axis is vertical, and the minor axis is horizontal. Center at (0, 0) Vertices of major axis: (0, 5) and (0, -5) Vertices of minor axis: (2, 0) and (-2, 0) c² = a² - b² c = √(a² - b²) c = √(5² - 4²) c = √(25 - 16) c = √(9) c = ±3 Foci: (0, 3) and (0, -3) Thanks for writing. Staff www.solving-math-problems.com