Algebra II
HW #908 Hyperbolas Day 2
Name:______________________________Per____
Find an equation of the hyperbola described.
1. Foci (0, –8), (0, 8); difference of focal radii 10
2. Foci (–4, 0), (4, 0); difference of focal radii 4
3
3. Asymptotes: y   x ; Foci (0,  13),(0, 13)
2
4. Asymptotes: y  
5. Asymptotes: y  3x ; y-intercepts (0, –3), (0, 3)
6. Asymptotes: y   x ; Foci (–4, 0), (4, 0)
2
x ; Foci (0,  6),(0, 6)
2
7. Graph the hyperbola 4 x2  9 y 2  36  0 and find: (a) x-intercepts, (b) y-intercepts, (c) coordinates of the
foci, (d) equations of the asymptotes, and (e) the eccentricity.
x2 y 2
8. Graph the ellipse

 1 and find: (a) x-intercepts, (b) y-intercepts, (c) coordinates of the foci,
9
4
(d) the length of the major axis, and (e) the eccentricity.
SOLUTIONS:
y 2 x2
1.

1
25 39
x2 y 2
2.

1
4 12
y 2 x2
3.
 1
9 4
y 2 x2
4.
 1
2 4
x2 y 2
6.

1
8 8
2
7. (a) none (b) (0, –2), (0, 2) (c) (0,  13),(0, 13) (d) y   x (e)
3
8. (a) (–3, 0), (3, 0) (b) (0, –2), (0, 2) (c) ( 5,0),( 5,0) (d) 6 (e)
5
3
y 2 x2
5.
 1
9 1
13
2