Question

The ellipse (x2/9) + (y2/25) = 1 is shifted 3 units to the left and 2 units down to generate the ellipse

(x + 3)2/ 9 + ( y + 2)2/ 25 = 1.

a. Find the foci, vertices, and center of the new ellipse.

b. Plot the new foci, vertices, and center, and sketch in the new ellipse.

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