Conic Sections Help

Question

1.     The equation of an ellipse is given by.

         (x-3)^2 / 64 + (y+5)^2 / 100 = 1

(a)   Identify the coordinates of the center of the ellipse.

(b)   Find the length of the major and minor axes.

(c)   Graph the ellipse.

Answer 1

Step 1:

The equation of ellipse is

a)

Find the center of the ellipse.

Standard form of the vertical ellipse is

Compare between standard form of the ellipse equation and equation of the ellipse.

b)

Find the length of the Major and Minor axis.

c)

Graph the ellipse.

Graph the ellipse equation

Solution:

c)