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Circles v. Parabolas

Circles v. Parabolas. Both at once?. Not exactly (or at least not yet). More importantly, can you tell the difference between the two just by looking? Not at the graph, at the equation. Some example equations. (x – 2) 2 + (y + 3) 2 = 4 Is the same as (x – 2) 2 = 4 – (y+3) 2

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Circles v. Parabolas

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  1. Circles v. Parabolas

  2. Both at once? • Not exactly (or at least not yet). • More importantly, can you tell the difference between the two just by looking? • Not at the graph, at the equation

  3. Some example equations • (x – 2)2 + (y + 3)2 = 4 • Is the same as • (x – 2)2 = 4 – (y+3)2 • Is not the same as • (x – 2)2 = 4 – (y + 3) • Which is which?

  4. How can you tell • Watch the exponents • For a parabola, one variable will be squared. • For a circle, both will be. • This includes the squares outside the parenthesis (ie, if it’s inside a squared parenthesis, it will end up being squared)

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