Conics Worksheet With Answers Page 5
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8Conics Lesson 6
Part II: Standard To General Form
Answers:
1.
4.
⎡
⎤
2
2
9x
4(y + 1)
[ ]
2
36
-
= 36 -1
-2(y - 5) = x - 3
⎢
⎥
⎣
36
36
⎦
-2(y - 5)(y - 5) = x - 3
2
2
9x - 4(y + 1) = -36
2
-2(y - 10y + 25) = x - 3
2
9x - 4(y + 1)(y + 1) = -36
2
-2y + 20y - 50 = x - 3
2
2
9x - 4(y + 2y + 1) = -36
2
0 = 2y + x - 20y + 47
2
2
9x - 4y - 8y - 4 = -36
2
2
9x - 4y - 8y + 32 = 0
⎡
⎤
2
2
x
(y + 5)
[ ]
2.
5.
2
2
4(x - 1) +(y + 2) = 17
36
-
= 36 1
⎢
⎥
⎣
4
9
⎦
4(x - 1)(x - 1)+(y + 2)(y + 2) = 17
2
2
9x - 4(y + 5) = 36
2
2
4(x - 2x + 1)+(y + 4y + 4) = 17
2
9x - 4(y + 5)(y + 5) = 36
2
2
4x - 8x + 4 + y + 4y + 4 = 17
2
2
9x - 4(y + 10y + 25) = 36
2
2
4x + y - 8x + 4y + 8 = 17
2
2
9x - 4y - 40y - 100 = 36
2
2
4x + y - 8x + 4y - 9 = 0
2
2
9x - 4y - 40y - 136 = 0
6.
⎡
⎤
⎡
⎤
2
2
1
(x - 2)
(y - 4)
[
]
[ ]
3.
2
8 y + 3 = 8 - (x + 3)
225
-
= 225 1
⎢
⎥
⎢
⎥
⎣
⎦
8
⎣
9
25
⎦
2
2
2
8y + 24 = -(x + 3)
25(x - 2) - 9(y - 4) = 225
8y + 24 = -(x + 3)(x + 3)
25(x - 2)(x - 2) - 9(y - 4)(y - 4) = 225
2
2
2
25(x - 4x + 4) - 9(y - 8y + 16) = 225
8y + 24 = -(x + 6x + 9)
2
2
2
25x - 100x + 100 - 9y + 72y - 144 = 225
8y + 24 = -x - 6x - 9
2
2
25x - 9y - 100x + 72y - 269 = 0
2
x + 6x + 8y + 33 = 0
Pure Math 30: Explained!
109
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