In Example 7, change the + before 6y to . Data from Example 7 Display the graph

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In Example 7, change the + before 6y to −.


Data from Example 7

Display the graph of the circle 3x 2 + 3y 2 + 6y − 20 = 0 on a calculator. To fit the form of a quadratic equation in y, we write 3y2 + 6y + (3x2 − 20) = 0. Now, using the quadratic formula to solve for y, we let


which means we get the two functions


which are entered into the calculator to get the view shown in Fig. 21.38.

The window values were chosen so that the length along the x-axis is about 1.5 times that along the y-axis so as to have less distortion in the circle. The gaps shown on the left and right sides of the circle should not be there, but graphing utilities sometimes have difficulty graphing parts of curves that are nearly vertical.

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Basic Technical Mathematics

ISBN: 9780137529896

12th Edition

Authors: Allyn J. Washington, Richard Evans

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