Fundamentals of Math - old

Fundamentals of Mathematics

Using a table to graph a relationship (like a line), is the most straightforward method. To graph an equation of a line (or quadratic - more on this later), select some values of and then evaluate those values in the given equation to get the corresponding values of . Use these and values to form ordered pairs, plot these on the coordinate plane, and then connect them.

Example 4.2.1

= 2 3

Graph the equation

− 6

Step 1: Select some values for .

−6

−3

0

3

6

Step 2: Substitute the selected values of into the equation and solve for .

2 3

2 3

2 3

(−6) − 6 = −10

(−3) − 6 = −8

(0) − 6 = −6

=

=

=

2 3

2 3

(3) − 6 = −4

(6) − 6 = −2

=

=

Step 3: Plot the ordered pairs.

−6

−10

−3

−8

0

−6

3

−4

6

−2

Step 4: Connect the ordered pairs together using a straight edge.

©2019 Achieve Page 62 of 127