Chapter Practice the given equation with one of the graphs. = - 1)...
36
260 Chapter 10.1 - 10.4 Practice Match the given equation with one of the graphs. 1) y 2 = -4x A) x -10 -5 5 10 y 10 5 -5 -10 x -10 -5 5 10 y 10 5 -5 -10 B) x -10 -5 5 10 y 10 5 -5 -10 x -10 -5 5 10 y 10 5 -5 -10 C) x -10 -5 5 10 y 10 5 -5 -10 x -10 -5 5 10 y 10 5 -5 -10 D) x -10 -5 5 10 y 10 5 -5 -10 x -10 -5 5 10 y 10 5 -5 -10 1) 1
Transcript of Chapter Practice the given equation with one of the graphs. = - 1)...
260 Chapter 10.1 - 10.4 PracticeMatch the given equation with one of the graphs.
1) y2 = -4xA)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
B)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
C)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
D)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
1)
1
2) y2 = -5xA)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
B)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
C)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
D)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
2)
2
3) (y + 2)2 = 8(x + 6)A)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
B)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
C)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
D)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
3)
3
4) (y - 3)2 = -6(x + 2)A)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
B)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
C)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
D)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
4)
4
5) 3y2 - 12x - 6 = 0A)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
B)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
C)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
D)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
5)
5
6) (x + 4)2 = 2(y + 1)A)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
B)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
C)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
D)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
6)
6
7) 2x2 + 16y = 16A)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
B)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
C)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
D)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
7)
7
8) 36x2 + 25y2 = 900A)
x-12 12
y12
-12
x-12 12
y12
-12
B)
x-12 12
y12
-12
x-12 12
y12
-12
C)
x-12 12
y12
-12
x-12 12
y12
-12
D)
x-12 12
y12
-12
x-12 12
y12
-12
8)
8
9) 64x2 + 4y2 = 256A)
x-12 12
y12
-12
x-12 12
y12
-12
B)
x-12 12
y12
-12
x-12 12
y12
-12
C)
x-12 12
y12
-12
x-12 12
y12
-12
D)
x-12 12
y12
-12
x-12 12
y12
-12
9)
9
10) 100x2 + 25y2 = 2500A)
x-12 12
y12
-12
x-12 12
y12
-12
B)
x-12 12
y12
-12
x-12 12
y12
-12
C)
x-12 12
y12
-12
x-12 12
y12
-12
D)
x-12 12
y12
-12
x-12 12
y12
-12
10)
10
11) 64x2 + y2 - 256x + 192 = 0
A)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
B)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
C)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
D)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
11)
11
12) x29
- y264
= 1
A)
x-10 10
y
10
-10
x-10 10
y
10
-10
B)
x-10 10
y
10
-10
x-10 10
y
10
-10
C)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
D)
x-10 10
y
10
-10
x-10 10
y
10
-10
12)
12
13) y216
- x249
= 1
A)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
B)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
C)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
D)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
13)
13
14) y2 - 4x2 = 64A)
x-10 -5 5 10
y
10
5
-5
-10
x-10 -5 5 10
y
10
5
-5
-10
B)
x-10 -5 5 10
y
10
5
-5
-10
x-10 -5 5 10
y
10
5
-5
-10
C)
x-10 -5 5 10
y
10
5
-5
-10
x-10 -5 5 10
y
10
5
-5
-10
D)
x-10 -5 5 10
y
10
5
-5
-10
x-10 -5 5 10
y
10
5
-5
-10
14)
14
15) 16x2 - 9y2 = 144A)
x-10 10
y
10
-10
x-10 10
y
10
-10
B)
x-10 10
y
10
-10
x-10 10
y
10
-10
C)
x-10 10
y
10
-10
x-10 10
y
10
-10
D)
x-10 10
y
10
-10
x-10 10
y
10
-10
15)
Draw the graph of the equation.16) (x + 2)2 = 2(y - 4)
x-10 10
y10
-10
x-10 10
y10
-10
16)
15
17) (y - 2)2 = 6(x + 2)
x-10 10
y
10
-10
x-10 10
y
10
-10
17)
Draw the graph of the equation. Label two points on the graph, the focus, the directrix.18) (y - 7)2 = 6(x + 1)
x-10 10
y
10
-10
x-10 10
y
10
-10
18)
Draw the graph of the equation. label the vertex, focus and directrix.19) (x - 2)2 = -5(y - 1)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
19)
16
Draw the graph of the equation.20) x = y2 + 3y + 4
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
20)
Draw the graph of the equation. Label at least two points on the graph including the vertes, and focus.21) x2 + y - 7 = 0
x-10 10
y10
-10
x-10 10
y10
-10
21)
Draw the graph of the equation. Label the vertex, focus, directrix.22) x2 - 16y - 8x = 0
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
22)
Find an equation of a parabola satisfying the given conditions.23) Vertex (0, 0), focus (0, -4) 23)
24) Focus (0, 2), directrix y = -2 24)
17
25) Focus 0, 34, directrix y = - 3
425)
26) Focus (0, -3π), directrix y = 3π 26)
27) Focus (-2, -3), directrix y = 13 27)
28) Focus (-5, 9), directrix x = 1 28)
29) Focus (-8, 9), directrix y = -1 29)
Find an equation of an ellipse satisfying the given conditions.30) Foci at (-5, 0), (5, 0); vertices at (-8, 0), (8, 0) 30)
31) Foci at (-4, 0) and (4, 0); length of major axis: 14 31)
32) Vertices: (-13, 0) and (13, 0); length of minor axis: 16 32)
33) Foci: (-2,1) and(-2,-5); length of major axis: 10 33)
34) Foci: (-2,2) and(-2,-4); length of major axis: 10 34)
Find the asymptotes of the hyperbola.
35) x2400
- y2225
= 1 35)
36) 4y2 - 25x2 = 100 36)
37) 64y2 - 9x2 = 576 37)
38) (x + 3)216
- (y + 2)29
= 1 38)
39) y2 - x2 - 14y + 12x - 3 = 0 39)
40) y2 - x2 - 4y + 8x - 37 = 0 40)
Find the center and the radius of the circle.41) x2 + y2 + 10x + 6y + 34 = 49 41)
42) x2 + y2 - 16x - 14y = 0 42)
43) y2 + 20y + 100 = 6x - x2 - 5 43)
18
44) x2 + y2 + 3x - 3y - 118 = 0 44)
Find the center of the ellipse.45) 16(x - 5)2 + 25(y - 3)2 = 400 45)
46) 16(x - 1)2 + 36(y + 2)2 = 576 46)
47) 9x2 + y2 - 144x + 567 = 0 47)
Find the center of the hyperbola.
48) y249
- x236
= 1 48)
49) 16y2 - 4x2 = 64 49)
50) 16(x + 3)2 - 4(y + 6)2 = 64 50)
51) 7x2 - y2 - 70x + 10y - 193 = 0 51)
Find the equation of the hyperbola satisfying the given conditions.52) Vertices at (5, 0) and (-5, 0); foci at (9, 0) and (-9, 0) 52)
53) Center at (0, 0); focus at (0, 13); vertex at (0, 3) 53)
54) Vertices at (-10, 0) and (10, 0); focus at ( 149, 0) 54)
55) Vertices at (0, 6) and (0, -6); asymptotes y = 34x and y = - 3
4x 55)
56) Asymptotes y = 511x, y = - 5
11x; one vertex (11, 0) 56)
57) Foci at (- 13, 0) and (13, 0); asymptote y = - 125x 57)
Find the equation of the parabola with the given properties.58) Vertex: (-3, 1); horizontal axis of symmetry; containing the point (5, -1) 58)
Find the foci of the ellipse.
59) (x - 4)2225
+ (y - 3)281
= 1 59)
19
Find the foci of the ellipse. Give exact answers, no decimal approximations.
60) (x - 2)216
+ (y + 3)29
= 1 60)
Find the foci of the ellipse.61) 49x2 + y2 - 294x + 392 = 0 61)
Find the foci of the given hyperbola.
62) x24
- y25
= 1 62)
63) 36x2 - y2 = 36 63)
Find the foci of the given hyperbola. Give exact values, no decimal approximations.64) 25x2 - y2 = 25 64)
Find the foci of the given hyperbola.65) y2 - x2 - 10y + 8x - 7 = 0 65)
Find the focus and directrix of the parabola.66) x = 10y2 66)
67) x = 9y2 67)
68) y2 = 32x 68)
69) x2 + 20y = 0 69)
70) x2 + 8y = 0 70)
Find the vertex, the focus, and the directrix of the parabola.71) (x + 4)2 = -20(y - 3) 71)
72) (y - 1)2 = 12(x + 3) 72)
73) (y + 3)2 = 4(x - 2) 73)
74) x2 + 10x + 8y + 57 = 0 74)
75) x2 + 8x - 8y + 24 = 0 75)
76) y = x2 + 8x + 17 76)
20
Find the vertices and the foci of the given ellipse.
77) x281
+ y29
= 1 77)
78) x281
+ y216
= 1 78)
79) x236
+ y249
= 1 79)
80) 16x2 + 9y2 = 144 80)
Find the vertices of the ellipse.
81) (x + 1)2256
+ (y + 2)2400
= 1 81)
82) (x + 2)216
+ (y - 3)29
= 1 82)
83) 16x2 - 128x + 25y2 - 250y + 481 = 0 83)
84) 9x2 - 72x + 25y2 - 200y + 319 = 0 84)
85) 16x2 + y2 - 192x + 560 = 0 85)
Find the vertices of the hyperbola.
86) y216
- x24
= 1 86)
87) 4(y + 6)2 - 25(x + 1)2 = 100 87)
88) 16(y - 2)2 - 25(x - 6)2 = 400 88)
89) 16x2 - 4y2 + 32x - 32y - 112 = 0 89)
21
Graph the circle. label 4 points on the circle.90) x2 + y2 - 6x + 12y = -41
x-10 -5 5 10
y
10
5
-5
-10
x-10 -5 5 10
y
10
5
-5
-10
90)
Graph the circle. label four points on the circle.91) x2 + y2 - 8x = -6y - 16
x-10 -5 5 10
y
10
5
-5
-10
x-10 -5 5 10
y
10
5
-5
-10
91)
22
Graph the ellipse. Label the vertices, center and foci.
92) x236
+ y225
= 1
x
y
x
y
92)
Graph the ellipse. Label the vertices , center and foci.93) 9x2 + 36y2 = 324
x-10 -5 5 10
y
10
5
-5
-10
x-10 -5 5 10
y
10
5
-5
-10
93)
Graph the ellipse. Label the vertices and center.
94) (x - 1)29
+ (y + 1)24
= 1
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
94)
23
95) 9x2 + y2 - 72x + 135 = 0
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
95)
Graph the parabola and its vertex, focus, and directrix.96) y2 = 16x
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
96)
Graph the parabola. Label the vertex, focus and directrix.97) y2 = -12x
x-4 -3 -2 -1 1 2 3 4
y
4
3
2
1
-1
-2
-3
-4
x-4 -3 -2 -1 1 2 3 4
y
4
3
2
1
-1
-2
-3
-4
97)
24
98) y2 - 6x = 0
x-4 -3 -2 -1 1 2 3 4
y
4
3
2
1
-1
-2
-3
-4
x-4 -3 -2 -1 1 2 3 4
y
4
3
2
1
-1
-2
-3
-4
98)
Graph. Label the center, vertices, foci.
99) y249
- x236
= 1
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
99)
100) x236
- y225
= 1
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
100)
25
Graph. Label the vertices, center, foci.101) y2 - 4x2 = 4
x-10 -5 5 10
y
10
5
-5
-10
x-10 -5 5 10
y
10
5
-5
-10
101)
Graph. Label the center, vertices, foci.
102) (x + 2)236
- (y - 1)225
= 1
x-10 -5 5 10
y15
10
5
-5
-10
-15
x-10 -5 5 10
y15
10
5
-5
-10
-15
102)
Graph. Label the center, vertices, foci.
103) (y + 4)236
- (x - 2)29
= 1
x-10 -5 5 10
y15
10
5
-5
-10
-15
x-10 -5 5 10
y15
10
5
-5
-10
-15
103)
26
Answer KeyTestname: 260CH10P
1) D2) C3) B4) A5) B6) D7) B8) D9) A10) D11) C12) B13) C14) B15) A16)
x-10 10
y10
-10
x-10 10
y10
-10
17)
x-10 10
y
10
-10
x-10 10
y
10
-10
27
Answer KeyTestname: 260CH10P
18)
x-10 10
y
10
-10
x-10 10
y
10
-10
19)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
20)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
28
Answer KeyTestname: 260CH10P
21)
x-10 10
y10
-10
x-10 10
y10
-10
22)
x-20 -10 10 20
y20
10
-10
-20
x-20 -10 10 20
y20
10
-10
-20
23) x2 = -16y24) x2 = 8y25) x2 = 3y26) x2 = -12πy27) (x + 2)2 = -32(y - 5)28) (y - 9)2 = -12(x + 2)29) (x + 8)2 = 20(y - 4)
30) x264
+ y239
= 1
31) x249
+ y233
32) x2169
+ y264
= 1
33) (y + 2)225
+ (x + 2)216
= 1
34) (y + 1)225
+ (x + 2)216
= 1
35) y = 34x, y = - 3
4x
29
Answer KeyTestname: 260CH10P
36) y = 52x and y = - 5
2x
37) y = 38x and y = - 3
8x
38) y + 2 = 34(x + 3), y + 2 = - 3
4(x + 3)
39) y - 7 = x - 6, y - 7 = -(x - 6)40) y - 2 = x - 4, y - 2 = -(x - 4)41) (-5, -3); r = 742) (8, 7); r = 11343) (3, -10); r = 2
44) - 32, 32, r = 7 10
2
45) (5, 3)46) (1, -2)47) (8, 0)48) (0, 0)49) (0, 0)50) (-3, -6)51) (5, 5)
52) x225
- y256
= 1
53) y29
- x24
= 1
54) x2100
- y249
= 1
55) y236
- x264
= 1
56) x2121
- y225
= 1
57) x225
- y2144
= 1
58) 12(x + 3) =(y - 1)2
59) (-8, 3), (16, 3)60) (2 + 7, -3), (2 - 7, -3)61) (3, 4 3), (3, -4 3)62) (3, 0), (-3, 0)63) ( 37, 0), (- 37, 0)64) ( 26, 0), (- 26, 0)
30
Answer KeyTestname: 260CH10P
65) (4, 5 + 4 2), (4, 5 - 4 2)
66) F: 140, 0 ; D: x = - 1
40
67) F: 136, 0 ; D: x = - 1
36
68) F: (8, 0); D: x = -869) F: (0, -5); D: y = 570) F: (0, -2); D: y = 271) V: (-4,3); F: (-4, -2); D: y = 872) V: (-3, 1); F: (0, 1) ; D: x = -673) V: (2, -3); F: (3, -3) ; D: x = 174) V: (5, - 4); F: (-5, -6); D: y = -275) V: (4, 1); F: (-4, 3); D: y = -1
76) V: (-4, 1); F -4, 1 14 ; D: y = 3
4
77) V: (-9, 0), (9, 0);F:(- 6 2, 0), (6 2, 0)
78) V: (-9, 0), (9, 0);F:(- 65, 0), ( 65, 0)
79) V: (0, -7), (0, 7);F: (0, - 13) and (0, 13)
80) V: (0, -4), (0, 4); F: (0, - 7), (0, 7)
81) (-1, -22), (-1, 18)82) (-6, 3), (2, 3)83) (-1, 5), (9, 5)84) (-1, 4), (9, 4)85) (6, 4), (6, -4)86) (0, 4), (0, -4)87) (-1, -1) and (-1, -11)88) (6, 7) and (6, -3)89) (-3, -4) and (1, -4)
31
Answer KeyTestname: 260CH10P
90)
x-10 -5 5 10
y
10
5
-5
-10
x-10 -5 5 10
y
10
5
-5
-10
91)
x-10 -5 5 10
y
10
5
-5
-10
x-10 -5 5 10
y
10
5
-5
-10
92)
x-10 -5 5 10
y
10
5
-5
-10
x-10 -5 5 10
y
10
5
-5
-10
32
Answer KeyTestname: 260CH10P
93)
x-10 -5 5 10
y
10
5
-5
-10
x-10 -5 5 10
y
10
5
-5
-10
94)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
95)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
33
Answer KeyTestname: 260CH10P
96)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
97)
x-5 -4 -3 -2 -1 1 2 3 4 5
y54321
-1-2-3-4-5
x-5 -4 -3 -2 -1 1 2 3 4 5
y54321
-1-2-3-4-5
98)
x-5 -4 -3 -2 -1 1 2 3 4 5
y54321
-1-2-3-4-5
x-5 -4 -3 -2 -1 1 2 3 4 5
y54321
-1-2-3-4-5
34
Answer KeyTestname: 260CH10P
99)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
100)
x-10 -5 5 10
y10
5
-5
-10
x-10 -5 5 10
y10
5
-5
-10
101)
x-10 -5 5 10
y
10
5
-5
-10
x-10 -5 5 10
y
10
5
-5
-10
35
Answer KeyTestname: 260CH10P
102)
x-10 -5 5 10
y15
10
5
-5
-10
-15
x-10 -5 5 10
y15
10
5
-5
-10
-15
103)
x-10 -5 5 10
y15
10
5
-5
-10
-15
x-10 -5 5 10
y15
10
5
-5
-10
-15
36
