Open the “Ellipse” interactive figure, which is  available in the Video & Resource Library of MyLab Math (under Interactive Figures) or at bit.ly/3raFUGB.

(a) Check the box “Show Ellipse.” Move F₁ to (−1, −3) and  F₂ to ( 7, −3). Look at the equation of the ellipse and  note the center. What is the value of a? What is the value  of b? What is the major axis? Note the denominators in  the equation of the ellipse.

(b) Move F₁ to (2, 3) and F₂ to (2, −3). Look at the  equation of the ellipse and note the center. What is the  value of a? What is the value of b? What is the major  axis? Note the denominators in the equation of the  ellipse.

(c) If the major axis is parallel to the x-axis, then the  equation of the ellipse is of the form:

Transcribed Image Text:

(x - h) ² a² (xh)² 62 + + (y - k)² 6b2 (y - k)² a² 2 = 1 = 1