Question 275418
1) create a design that you want to make using only parabolas and circles. Each design must include at least one parabola and one circle. 
2) must have at least 4 conics in the design and write the equation for each conic. 
I was thinking of a smile shape, but I wasn't sure its the write design for the teacher rules and how to get the equation for a smile. 
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Let the mouth be an ellipse: x^2/16 + y^2/4 = 1
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Let the nose be a circle x^2 + (y-4)^2 = 1
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Let each eye be a parabola:
Put the vertex of one at (-2,5); the other at (2,5)
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Hope that helps.
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Cheers,
Stan H.