University:
Felician University
Course:
MATH-231 | Geometry I
Academic year:

2019
Views:

258

Pages:

7
Author:

larbiwxcvbn

ELLIPSE VOCABULARY STANDARD EQUATION OF AN ELLIPSE c c a a b b Find Center, Vertex, and Foci For each equation, find the Center, Vertex, and Foci of the Ellipse 1. 𝑥2 25 + 𝑦2 16 = 1 What would have to happen in the equation for it to be a circle? 2. 𝑥−2 2 4 + 𝑦+1 2 12 = 1 Find Center, Vertex, and Foci For each equation, find the Center, Vertex, and Foci of the Ellipse 1. 𝑥2 25 + 𝑦2 16 = 1 What would have to happen in the equation for it to be a circle? 2. 𝑥−2 2 4 + 𝑦+1 2 12 = 1 Find Standard Form of the Equation Find the standard form of the equation of the ellipse having the given characteristics: 3. Foci at (0, 1) & (4, 1) Major Axis length of 6 4. Center (2, -2) & a Vertex (2, 3) Minor Axis length of 2 Find Standard Form of the Equation 5. 𝟗𝒙𝟐 + 𝟒𝒚𝟐 + 𝟑𝟔𝒙 − 𝟐𝟒𝒚 + 𝟑𝟔 = 𝟎 Complete the Square 9𝑥 2 + 36𝑥 + ___ +4𝑦 2 − 24𝑦 + ___ = -36 9(𝑥 2 + 4𝑥 + ___) + 4(𝑦 2 − 6𝑦 + ___) = −36 9 𝑥 2 + 4𝑥 + 𝟒 + 4 𝑦 2 − 6𝑦 + 𝟗 = −36 + 𝟑𝟔 + 𝟑𝟔 9 𝑥+2 9 𝑥+2 36 2 2 + 4 𝑦 −3 4 𝑦−3 + 36 2 2 = 36 36 = 36 𝒙+𝟐 𝟒 𝟐 + 𝒚−𝟑 𝟗 𝟐 = 𝟏