Equations of Ellipses WS

Algebra II Accelerated
Circles & Ellipses
Day 5 – Homework
Name: ____________________________________________
Period: ________ Date: ___________________________
Equations of Ellipses WS
Write an equation in standard form, and sketch the graph. Please label all main points on your graph.
1. center at origin; endpoints of major axis
(4,0) (-4,0); y-intercepts at (0,2) and (0,-2)
2. center at origin; foci at (0,3) and (0,-3)
major axis 10 units long
3. foci (7,3) and (-3,3); major axis 12 units long
4. center at origin; one focus at (5,0);
one endpoint of major axis at (7,0).
5. major axis endpoints (-2,4) and (10,4);
one focus is on the y-axis
6. endpoints of the axes are (1,1),
(5,1), (3,6) (3,-4).
7. center (-3,4); one focus at (-3,7)
One endpoint of minor axis is (-7,4)
8. endpoints of major axis (4,-2), (4,10)
minor axis is 10 units long
9. center (4,-1); vertex (9,-1); focus ((7,-1)
10. center (-2,7); focus (3,7)
Major axis 26 units long
Write the equation for the following ellipses.
11.
12.