Chapter 9 Quadratic Relations and Conic Sections - 9.4 Graph and Write Equations of Ellipses - 9.4 Exercises - Skill Practice - Page 637: 29

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We know the following equation for an ellipse centered at the origin: $$\frac{x^2}{a^2}+\frac{y^2}{b^2}=1$$ Where $(\pm a,0)$ is the vertex and $(0,\pm b)$ is the co-vertex. Thus, we find: $$\frac{x^2}{(\pm 4)^2}+\frac{y^2}{(\pm 7)^2}=1$$ $$\frac{x^2}{16}+\frac{y^2}{7}=1$$