Unformatted text preview: is not symmetric about the
origin (e.g. (3, 2) is on the graph but
(−3, −2) is not) The graph is not symmetric about the
xaxis (e.g. (2, −2) is on the graph but
(2, 2) is not)
The graph is not symmetric about the
y axis (e.g. (2, −2) is on the graph but
(−2, −2) is not)
The graph is not symmetric about the
origin (e.g. (2, −2) is on the graph but
(−2, 2) is not) 32 Relations and Functions
(i) (x + 2)2 + y 2 = 16
Rewrite as y = ± 16 − (x + 2)2 .
xintercepts: (−6, 0), (2, 0)
√
y intercepts: 0, ±2 3
x
−6
−4
−2
0
2 y
0
√
±2 3
±4
√
±2 3
0 (x, y )
(−6, 0)
√
−4, ±2 3
(−2, ±4)
√
0, ±2 3
(2, 0)
y (j) x2 − y 2 = 1
√
Rewrite as: y = ± x2 − 1.
xintercepts: (−1, 0), (1, 0)
The graph has no y intercepts
x
−3
−2
−1
1
2
3 y
(x, y )
√
√
± 8 (−3, ± 8)
√
√
± 3 (−2, ± 3)
0
(−1, 0)
0
(1, 0)
√
√
± 3 (2, ± 3)
√
√
± 8 (3, ± 8) 5 y 4
3 3 2 2 1 1
−7 −6 −5 −4 −3 −2 −1
−1 1 2 3 x −2
−3 −3 −2 −1
−1 1 2 3 x −2
−3 −4
−5 The graph is symmetric about the
xaxis
The graph is not symmetric...
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 Fall '13
 Wong
 Algebra, Trigonometry, Cartesian Coordinate System, The Land, The Waves, René Descartes, Euclidean geometry

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