1. 10-5 Parabola

2. Parabola – “u” shape formed by quadratics. Created but all points equal distance from a focus and a given line called the directrix. Every parabola has an axis of symmetry and vertex.

5. focal width. A focal width is the length of a vertical or horizontal line that passes through the focus and touches the parabola on each end. Width = l 4p l Find the focal width of a parabola with equation y 2 = 16x

7. Change y 2 – 2y-12+13 = 0 to standard form. Then find the vertex, foci, directrix and axis of symmetry.

8. Locus: A set of points that satisfy a given set of conditions. All conic sections can be define use locus. – Parabola: the set of points equidistant from a single point (the focus) and a line (the directrix). Parabolafocusdirectrix – Circle: the set of points for which the distance from a single point is constant (the radius). The set of points for each of which the ratio of the distances to two given foci is a positive constant (that is not 1) is referred to as a Circle of Apollonius. CircleradiusCircle of Apollonius – Hyperbola: the set of points for each of which the absolute value of the difference between the distances to two given foci is a constant. Hyperbola – Ellipse: the set of points for each of which the sum of the distances to two given foci is a constant. In particular, the circle is a locus. Ellipsecircle Did you know…you can determine a shape by the value of e?