Introduction to Conic Sections
Relationships in Conic Sections
![Relationships in Conic Sections](https://stage.geogebra.org/resource/erpv5rmb/ciPFCJgCmrDLueCA/material-erpv5rmb.png)
- Conic sections can be seen as "slices" of two inverted cones. The shapes created by these "slices" are the same as the shapes which you will graph using equations.
- The physical differences between sections are reflected in the equations of the sections.
Conics in General Form
Ax2 + Bx2 + Dx + Ey + F
Rules to Remember:
- A and B cannot both equal zero - this would be the equation of a line
- if A = B, the conic is a circle
- if A or B = 0, the conic is a parabola
- if A is not equal to B and AB > 0, the conic is an ellipse
- if AB < 0, the conic is a hyperbola
![Image](https://stage.geogebra.org/resource/te2sjnbq/bO6uZaVW0Hu6ZhGg/material-te2sjnbq.png)
Introduction to conics.
Use the graphic tool and classify the following conics.
(x+2)2+(y-3)2=4
What do you notice?
Is this relation in General form or Standard form?
What do you notice?
Is this relation in General form or Standard form?
What do you notice?
Is this relation in General form or Standard form?
What do you notice?
Is this relation in General form or Standard form?
What do you notice?
Is this relation in General form or Standard form?
What do you notice?
Is this relation in General form or Standard form?
What do you notice?
Is this relation in General form or Standard form?