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Consider the equation x^2/9+y^2/9=1, which is the equation of a circle. Explain what you might do in order to change this equation of each of the following: 1. an ellipse 2. a hyperbola 3. a parabola What real life objects are physical models of an ellipse, hyperbola, and parabola?
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an ellipse change one of the denominators so they are not equal
a hyperbola change the plus sign to a minus sign as well
\[\frac{x^2}{4}-\frac{y^2}{9}=1\] for example for a hyperbola
a parabola get rid of one of the squares like \[x^2+y=1\]
the rest of the question i would do a quick google search planets have elliptical orbits, flashlights have parabolas, but i am just making stuff up
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