College Algebra, 2013a

1.2 Relations 37
41. y = x 2 +1
The graph has no x-intercepts
y-intercept: (0, 1)
x y (x, y)
−2 5 (−2, 5)
−1 2 (−1, 2)
0 1 (0, 1)
1 2 (1, 2)
2 5 (2, 5)
5
4
3
2
1
y
−2−1 1 2
x
The graph is not symmetric about the
x-axis (e.g. (2, 5) is on the graph but
(2, −5) is not)
The graph is symmetric about the y-axis
The graph is not symmetric about the
origin (e.g. (2, 5) is on the graph but
(−2, −5) is not)
42. y = x 2 − 2x − 8
x-intercepts: (4, 0), (−2, 0)
y-intercept: (0, −8)
x y (x, y)
−3 7 (−3, 7)
−2 0 (−2, 0)
−1 −5 (−1, −5)
0 −8 (0, −8)
1 −9 (1, −9)
2 −8 (2, −8)
3 −5 (3, −5)
4 0 (4, 0)
5 7 (5, 7)
y
7
6
5
4
3
2
1
−3−2−1 1 2 3 4 5x
−2
−3
−4
−5
−6
−7
−8
−9
The graph is not symmetric about the
x-axis (e.g. (−3, 7) is on the graph but
(−3, −7) is not)
The graph is not symmetric about the
y-axis (e.g. (−3, 7) is on the graph but
(3, 7) is not)
The graph is not symmetric about the
origin (e.g. (−3, 7) is on the graph but
(3, −7) is not)