In Example 2, change y + 2 to y − 2 and change the sign before the second term from + to −. Then describe and sketch the curve.

Data from Example 2

Describe the curve of the equation

We see that this equation fits the form of Eq. (21.30) with h = 3 and k = −2. It is the equation of an ellipse with its center at (3,−2) and its major axis parallel to the x-axis. The semimajor axis is a = 5, and the semiminor axis is b = 3. The ellipse is shown in Fig. 21.85.

1 25 6 z (7 + 1) + z( - x)