Chapter 11 - Section 11.2 - Ellipses - 11.2 Exercises: 36

$y=\pm 2\sqrt {3\left( 1-x^{2}\right) }$

Work Step by Step

$x^{2}+\dfrac {y^{2}}{12}=1\Rightarrow \dfrac {y^{2}}{12}=1-x^{2}\Rightarrow y^{2}=12\left( 1-x^{2}\right) \Rightarrow y=\pm \sqrt {12\left( 1-x^{2}\right) }=\pm 2\sqrt {3\left( 1-x^{2}\right) }$ Now we can graph this equation using graphing calculator as asked in question

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