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# Sec9.1 conics

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### Sec9.1 conics

1. 1.
2. 2. Sec. 9.1 Conics<br />Objectives: To name the Conics.<br />
3. 3. Sec. 9.2 The Parabola<br />Objectives: To find the equation to a parabola.<br /> : To graph parabolas. <br /> : To solve applied problems.<br />Parabola<br />The collection of all points P in the plane that are the same distance from a fixed point F and are from a fixed line D.<br />Fis called the focus. D is called the directrix.<br />
4. 4. Parabola<br />
5. 5. The equation of a Parabola having a vertex @ (0, 0) and focus @ (a, 0) is<br />Ex 1 Write and graph the equation whose vertex is (0, 0) and focus is (3, 0). <br />
6. 6. Ex 2 Graph the equation .<br />
7. 7. Ex 3 Write and graph the equation whose focus is (0, 4) and directrix is y= -4.<br />
8. 8. Ex 4 Find the equation of the parabola with vertex at (0, 0), that contains the point , and the x-axis is the axis of symmetry. <br />
9. 9. Vertex (h, k)<br />Find the equation of the parabola with vertex at (-2, 3) and the focus at (0, 3).<br />
10. 10. Ex 4Write and graph the equation whose focus is (2, -3) and focus is (2, -5).<br />
11. 11. Reflecting Property<br />A satellite dish is shaped like a paraboloid of revolution. The signals that emanate from a satellite strike the surface of the dish and are reflected to a single point, where the receiver is located. If the dish is 8 feet across at its opening and is 3 feet deep at its center, at what position should the receiver be placed?<br />