University:
North Central College
Course:
MATH 140 | Precalculus
Academic year:

2019
Views:

342

Pages:

2
Author:

MoonlitMarauder

Pre-Calculus Ellipses Notes Ellipses ELLIPSES Horizontal Ellipse Name________________________ Vertical Ellipse Graph Equation Equation Major Axis Minor Axis Vertices Co-Vertices Foci EXAMPLE 1 – Graphing an Ellipse Graph the ellipse. Identify the vertices, co-vertices, and foci of the ellipse. a. b. EXAMPLE 2 – Graphing a Translated Ellipse Identify the vertices, co-vertices, and foci of the ellipse. Then graph the ellipse a. ( ) ( ) b. ( ) ( ) EXAMPLE 3 – Writing Equations Find the standard form of the equation of each ellipse a. b. c. Foci: (0, ±2) Vertices: (0, ±4) d. Foci: (±7, 0) Length of Major Axis: 20 e. Major axis vertical with length 20 Length of minor axis 10; Center (2, -3) f. Endpoints of major axis: (2, 2) & (8, 2) Endpoints of minor axis: (5, 3) & (5, 1) EXAMPLE 4 – Completing the Square Convert each equation to standard form by completing the square a. b.