Math with Cartoons!
Chapter 9 with Invader ZIM

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I Miss You, Cupcake

1. When GIR jumped off the house, he traveled in a parabola with the equation
y = (1/4)(x -2)² -3. Find the axis of symmetry, vertex, focus, directrix, and length of the latus rectum for the parabola.
 
2. Zim's space ship is in the shape of the circle with the equation of
(x - 2)² + (y - 5)²=16. Find the circle's center and radius.
 
3. Gaz was chasing Iggins in an eliptical shape around the inside of the mall after Iggins stole her Game Slave 2. If the elipse's equation is
[(x+3)²/ 25] + [y²/9] = 1, then find the center, foci, and lengths of the major and minor axes of the elipse.
 
4. Dib is trying to find the vertices, foci, and slope of the asymptotes for the hyperbola with the equation [(y-4)² /16] - (x+2)² /9=1]
 
5. Help the Allmighty Tallest Irken to determine if the equation       
[(3x -3a)² + (6y - 6b)² = 29] is a circle, hyperbola, elipse, or parabola.

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For more on Conics, go to http://colbycc.edu/www/math/algebra/conics.htm
 
For more on Invader Zim, go to