THIS IS NOT A TEST OR ASSESSMENT PLEASE EXPLAIN!! Chapter 13 1. What is a conic ? How would you be able to model different conic sections at home(how would you slice a 3D shape to create the conic sections)?

2. How does the equation for the ellipse compare to the equation for a hyperbola? How can you determine the difference?

3. What is the difference between a vertex, a focus, and a directrix?

A conic is any curve produced by the intersection of a plane and a right circular cone.

Here are some real life applications and occurrences of conic sections: the paths of the planets around the sun are ellipses with the sun at one focus. parabolic mirrors are used to converge light beams at the focus of the parabola.

For ellipses, you tell whether it is horizontal or vertical by looking at which denominator is greater, since a must always be bigger than b. For hyperbolas, you tell whether it is horizontal or vertical by looking at which variable has a positive sign, the x2 or the y2.

The vertex of the parabola is at equal distance between focus and the directrix. If F is the focus of the parabola, V is the vertex and D is the intersection point of the directrix and the axis of symmetry, then V is the midpoint of the line segment ¯FD .

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