1. 10.1 Conics
And
1.5 Circles
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2. Know the names of the conics.
Objectives
Know the names of the conics.
Write the standard form of the equation of a circle.
Graph a circle.
Work with the general form of the equation of a circle.
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3. Conic Sections
Conic Sections are used to describe all the possible ways a plane and a double right cone can intersect.
First studied in ancient Greece: BC.

4. Conic Sections
Circle, ellipse, parabola and hyperbola: the plane is NOT through the vertex.

5. Degenerate Conics
Degenerate Conics: the plane DOES pass through the vertex making a point, line, or intersecting lines.

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7. Standard Form The center is not at the origin.
(x,y) r
(h,k)
Standard form of the equation of a circle.

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10. Write the standard form of the equation of the circle with radius 4 and center (2, –4).
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14. Graph the equation
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15. Find the general equation of the circle whose center is (1,–2) and whose graph contains the point (4,–2).
Radius: distance from center to a point on the circle
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16. Homework
1.5 #7-15 odd, odd, 35, 37
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