SOLUTION: Hello :) Can you please help me with this homework, it says, 1) create a design that you want to make using only parabolas and circles. Each design must include at least one p

Question 275418: Hello :)
Can you please help me with this homework, it says,
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.
I appreciate your help in advance!
Thank you,
Tena
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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.
-------------------------
Let the mouth be an ellipse: x^2/16 + y^2/4 = 1
-----------------
Let the nose be a circle x^2 + (y-4)^2 = 1
------------------
Let each eye be a parabola:
Put the vertex of one at (-2,5); the other at (2,5)
==========================
Hope that helps.
==============================
Cheers,
Stan H.
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