Section 1.2

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Transcript Section 1.2

Section 1.2

Graphs of Equations In Two Variables; Intercepts; Symmetry

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.

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            

Copyright © 2012 Pearson Education, Inc. Publishing as Prentice Hall.

6

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.

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.