Loading...

PPT – 10.2 Introduction to Conics: Parabola PowerPoint presentation | free to download - id: 7c9208-ODczY

The Adobe Flash plugin is needed to view this content

10.2 Introduction to ConicsParabola

- General Equation of all Conics
- Latus rectum

The General equation of all Conics

- Definition of a Conics
- conic - a curve generated by the intersection of

a plane and a circular cone

The General equation of all Conics

- Definition of a Conics
- conic - a curve generated by the intersection of

a plane and a circular cone - Ax2 Bxy Cy2 Dx Ey F 0
- Where A, B, C, D, E and F are all numbers

Parabola

- The curve formed by the set of points in a plane

that are all equally distant from both a given

line (called the directrix) and a given point

(called the focus) that is not on the line.

The Vertex of the Parabola

- The midpoint of a line segment between the Focus

and - the Directrix

Equation of the Parabola

- Depend if the parabola open to the right / left

or Up and Down. - Up or Down Right / left

Writing the equation of the Parabola

- Find the Vertex and a point on the parabola.
- What Equation to Use?

Writing the equation of the Parabola

- Replace h,k, x and y.
- Vertex ( 1, -4)
- Point ( 0, -3)
- Need to solve for p.

Writing the equation of the Parabola

- Replace h, k and p.
- Vertex ( 1, -4)
- Point ( 0, -3)

Writing the equation of the Parabola

- Replace h, k and p.

The Chord touching the parabola and going through

the center is called Latus rectum

- The Latus rectum goes through the Focus.
- The Latus rectum
- is 4 p

Find the equation of the Line tangent to the

parabola at a given point

- Given point (3,3) Focus (0, 2)
- Equation (x - 0)2 0.2(y 1)

Find the equation of the Line tangent to the

parabola at a given point

- Given point (3,3) Focus (0, 2)
- Equation (x - 0)2 0.2(y 1)

Find the equation of the Line tangent to the

parabola at a given point

- Given point (3,3) Focus (0, 2)
- Equation (x - 0)2 0.2(y 1)

Find the equation of the Line tangent to the

parabola at a given point

- Given point (3,3) Focus (0, 2)
- Equation (x - 0)2 0.2(y 1)

Find the equation of the Line tangent to the

parabola at a given point

- Slope m

Find the equation of the Line tangent to the

parabola at a given point

- Point-slope form the line

Find the equation of the Line tangent to the

parabola at a given point

- Point-slope form the line

Homework

- Page 712 715
- 6, 12, 18, 24,
- 28, 34, 40, 44,
- 50, 56, 64, 70

Homework

- Page 712 715
- 10, 20, 26, 42,
- 48, 58