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24 votes
24 votes
Which of the following graphs represents the equation? Thanks for your help!

Which of the following graphs represents the equation? Thanks for your help!-example-1
Which of the following graphs represents the equation? Thanks for your help!-example-1
Which of the following graphs represents the equation? Thanks for your help!-example-2
Which of the following graphs represents the equation? Thanks for your help!-example-3
Which of the following graphs represents the equation? Thanks for your help!-example-4
User Nicholas Post
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1 Answer

16 votes
16 votes

\begin{gathered} We\text{ are asked to find the graph that matches the following equation of an elipse: } \\ ((x-3)^2)/(9)+((y-2)^2)/(4)=1 \end{gathered}
\begin{gathered} An\text{ elispse will be in the form:} \\ ((x-h)^2)/(a^2)+((y-2)^2)/(b^2) \\ For\text{ an elipse, } \\ a>b\text{ always. Since the larger number is under the x}^2\text{ term, we can conclude that we have a horizontal elipse.} \end{gathered}

Furthermore, we have that the center of the graph is found at (3,2)

The correct option is therefore option B

User EagerMoose
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