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Intro to Conics

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A conic section is a curve formed by the intersection of _________________________

a plane and a double cone.

Standard Equation:

(h , k)

a

b

EllipseBasically an ellipse is a squishedcircle

Center: (h , k)

a: major radius (horizontal), length from center to edge of circle

b: minor radius (vertical), length from center to top/bottom of circle

* You must square root the denominator

Standard Equations:

OR

vertex

Parabolavertex

We’ve talked about this before…

a U-shaped graph

This equation opens left or right

This equation opens up or down

HOW DO YOU TELL…LOOK FOR THE SQUARED VARIABLE

- Vertex: (h , k)
- If there is a negative in front of the squared variable, then it opens down or left.
- If there is NOT a negative, then it opens up or right.

Standard Equations:

OR

HyperbolasWhat I look like…two parabolas, back to back.

This equation opens up and down

This equation opens left and right

Have I seen this before? Sort of…only now we have a minus sign in the middle

(h , k)

Center: (h , k)

What am I?

Name the conic section and its center or vertex.

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