Question: 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

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: (x - h) a (xh) 62 + + (y - k) 6b2

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

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