1. Construct a parabola on GSP using a given point (the focus) and a given line (the directrix).
2. Is this sequence parabolic? 7, 13, 23, 37, 55
3. Explain the affect of each of the parameters (a, b, and c) on the graph of y = ax² + bx + c
4. Graph y = x² + 3.
5. Graph y = 3x² - 2x + 1
6. Find the directrix and the focus of 2x² - 10x + 5y = 0
7. Is this graph most likely parabolic, cubic, or quartic?
   
8. Is this paraboloid elliptic or hyperbolic?
   

Solutions to the Quiz:

1. See Day 1
2. Yes
3. In general, negating the value of "a" will reflect the existing graph across the x axis. As "a" increases (positive values) or decreases (negative values) from zero, the parabola will narrow. In general, changing the value of "b" causes a translation along a parabolic path. The vertex translates along a parabolic path which is the original graph's reflection across the x axis. In general, changing the value of "c" causes a vertical translation. As "c" increases, the parabola translates up. As "c" decreases, the parabola translates down.
4. 
5. 
6. Focus: (0,-25/12) Directrix: y = -23/12
7. Cubic
8. Elliptic

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