Transcript Section 1.2
Section 1.2
Graphs of Equations In Two Variables; Intercepts; Symmetry
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Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Determine if the following points are on the graph of the equation 3
x
+
y
= 6 3 (a) (0, 4) 4 6 (b) ( 2, 0) 3 6 (c) ( 1, 3) 3 3 3
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6
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Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Find the
x
-intercept(s) and the
y
-intercept(s)
y
x
2 of the graph of then graph by plotting points.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
If a graph is symmetric with respect to the
x
-axis and the point (3,2) is on the graph, what other point is also on the graph?
(3,2) (3, 2)
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
If a graph is symmetric with respect to the
y
-axis and the point (3,2) is on the graph, what other point is also on the graph?
( 3, 2) (3,2)
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
If a graph is symmetric with respect to the origin and the point (3,2) is on the graph, what other point is also on the graph?
(3,2) ( 3, 2)
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Test
y
x
2
x
2 9 2 for symmetry.
x-Axis: y-Axis: y
Origin: y x
2 9
x
2 2 2 2 9 2 2 2 9 2 Not equivalent so not symmetric with respect to the
x
-axis.
IS equivalent so symmetric with respect to the
y
-axis.
Not equivalent so not symmetric with respect to the origin.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.
Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.