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The equation x^2 −4x+y^2 +2y=−4a. Is a parabolab. Is an ellipsec. Is a hyperbolad. Is a circlee. None of the above

User Kristopher Johnson
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1 Answer

7 votes
7 votes

we have the equation

x^2 −4x+y^2 +2y=−4

step 1

Complete the squares

group terms

(x^2-4x)+(y^2+2y)=-4

(x^2-4x+4)+(y^2-2y+1)=-4+4+1

(x^2-4x+4)+(y^2-2y+1)=1

rewrite as perfect squares

(x-2)^2+(y-1)^2=1

the equation represent a circle with center at (2,1) and radius 1 unit

therefore

the answer is the option D

User Paul Hildebrandt
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