Section 1.2 graphs of equations in two variables;intercepts; symmetry

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Section 1.2

Graphs of Equations In Two Variables;

Intercepts; Symmetry


Determine if the following points are on the graph of the equation 3x +y = 6

(b) (2, 0)(a) (0, 4) (c) (1, 3)

0 43 4 6 3 62 0 3 3 61 33


.


Find the x-intercept(s) and the y-intercept(s) of the graph of then graph by plotting points.

2 4y x


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)


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)


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)


2

2

9Test for symmetry.2

xyx

x-Axis: 2

2

92

xyx

Not equivalent so not symmetric with respect to the x-axis.

y-Axis:

2

2

9

2

xy

x

IS equivalent so symmetric with respect to the y-axis.

Origin:

2

2

9

2

xy

x

Not equivalent so not symmetric with respect to the origin.

Section 1.2 graphs of equations in two variables;intercepts; symmetry

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Transcript of Section 1.2 graphs of equations in two variables;intercepts; symmetry