Answered

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Which of the following has a graph that is an ellipse centered at (−2, 3)

Which Of The Following Has A Graph That Is An Ellipse Centered At 2 3 class=

Sagot :

Solution:

The vertex equation of an ellipse is;

[tex]\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1[/tex]

Thus, given the center;

[tex](h,k)=(-2,3)[/tex]

Then, the equation whose graph is an ellipse centered at (-2,3) is;

[tex]\frac{(x+2)^2}{12}+\frac{(y-3)^2}{18}=1[/tex]

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