1. Unit 1 – Conic Sections
Section 1.4 – The Ellipse
Calculator Required
a > b
a – semi-major axis
b – semi-minor axis
C(h, k)
V1(h + a, k), V2(h – a, k)
F1(h + c, k), F2(h – c, k)
C(h, k)
V1(h, k + a), V2(h, k – a)
F1(h, k + c), F2(h, k – c)

2. V1 V2 a F1 F2 c b C
C(1, 4)
V(1, -1), (1, 9)
F(1, 0), (1, 8)

3. b c c V1 V2 a F1 F2 C
C(-1, -2)
V(-10, -2), (8, -2)
F(-6.7, -2), (4.7, -2)

4. V1 V2 F1 F2 C
C(0, 0)
V(-4, 0), (4, 0)
F(-2.6, 0), (2.6, 0)

5. V1 V2 F1 F2 C
C(-3, 1)
V(-7, 1), (1, 1)
F(-5, -1), (-1, 1)

6. Find the equation of the ellipse whose center is at (2, -2), vertex
at (7, -2) and focus at (4, -2).
C(2, -2)
a = 5
c = 2 C F V

7. Find the equation of the ellipse with vertices at (4, 3) and (4, 9) ,
and focus at (4, 8)
C(4, 6)
a = 3
c = 2 V F C V

8. Find the equation of the ellipse whose foci are (5, 1) and (-1, 1),
and length of the major axis is 8
C(2, 1)
c = 3
Major is 8
Semi-major is 4
a = 4 F C F