13.4: Introduction to Conics- Answers to the Homework Exercises
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Introduction to Conics
- (0,12); √109≈10.44
- (−12,−32); √34≈5.83
- (1852,−69); 41
- circle
- ellipse
- parabola
- parabola
Circles
- (x+1)2+(y+5)2=100
Figure 13.4.1
- (x+3)2+(y−713)2=14
Figure 13.4.2
- (x+9)2+y2=25; center (−9,0), radius r=5
Figure 13.4.3
- (x+52)2+(y−12)2=304; center (−52,12), radius r=√302
Figure 13.4.4
- (x+12)2+(y−35)2=161100; center (−12,35), radius r=√16110
Figure 13.4.5
- (x−3)2+(y−6)2=20
- (x−1)2+(y−32)2=132
Parabolas
- Vertex (3,0); Focus (3,−4); Directrix y=4
Figure 13.4.6
- Vertex (−3,2); Focus (−6,2); Directrix x=0
Figure 13.4.7
- Vertex (1,−3); Focus (1,−2); Directrix y=−4
Figure 13.4.8
- Vertex (2,4); Focus (132,4); Directrix x=−52
Figure 13.4.9
- (x+1)2=8(y−6); Vertex (−1,6); Focus (−1,8); Directrix y=4
Figure 13.4.10
- (y+1)2=−12(x−10); Vertex (10,−1); Focus (798,−1); Directrix x=818
Figure 13.4.11