Question 17 Not yet answered Marked out of 4.00 P Flag question ldentify the con

Question

Question 17 Not yet answered Marked out of 4.00 P Flag question ldentify the conic. Then describe the translation of the graph of the conic. + 2 16 10 -10 -8-6-4-2 2 4 6810 Select one: a. hyperbola; horizontal shift 3 units to the right and vertical shift 2 units down b. ellipse; horizontal shift 3 units to the right and vertical shift 2 units down c. ellipse; horizontal shift 2 units to the right and vertical shift 3 units down d. ellipse; horizontal shift 3 units to the right and vertical shift 2 units up hyperbola; horizontal shift 2 units to the left and vertical shift 3 units up

Explanation / Answer

( x- 3)^2 / 16 + ( y +2 )^2 / 9 = 1

standard equation of ellipse is

x^2 / a^2 + y^2 / b^2 = 1

so, the standard graph is shifted

3 units to the right

and 2 units downwards

option b is correct

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