Conic Sections — Circles and Parabolas

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Last updated 10:09 PM on 5/19/25
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12 Terms

1
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(x-h)²+(y-k)²=r²

Circle equation

2
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(x-h)²=4p(y-k)

Vertical parabola

3
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(y-k)²=4p(x-h)

Horizontal parabola

4
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P

The distance from the vertex to the focus

5
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Vertex

The midpoint between the focus and the directrix

6
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Axis of symmetry

The line passing through the focus and the vertex

7
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Always perpendicular

The directrix and the axis of symmetry are…

8
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Focal width

A line segment perpendicular to the axis of symmetry that passes through the focus and has endpoints on the parabola

9
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Parabola

This conic equation has 1 squared term

10
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Circle

This conic equation has 2 squared terms

11
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Pi(r²)

Area formula (circle)

12
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2(pi)r

Circumference formula

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