Skip to content ### PARABOLA

##### Above you see the most popular example for Parabolic Curve-the Dish Antenna

#### What is a Parabola: A simple way to define would be, Parabolas are U-shaped Curves that satisfy specific conditions.

#### Remember: Not All U-shaped Curve is a Parabola

#### Question: Why is the Dish Antenna designed in the shape of a Parabola

#### This is to facilitate no matter where the incoming Signals hit the Dish Antenna, they get Directed | Reflected to the Receiver

#### Note: This point is the Fixed point and is called the FOCUS

#### For this Torch, the outer surface is Parabolic in shape and a Bulb is placed at the FOCUS point so that the light coming out has the maximum reach.

#### How do we define a Parabola

### Consider a fixed Line and a fixed point, say F. Now find all of the points whose distance from the line and the fixed point are equal (equidistant). Now if we were to connect all of these points they would all lie on a Curve and we call that curve to be a Parabola

### The Fixed point is called the Focus
and the Fixed line is called the Directrix.
The shape of the Parabola will depend on the position of the Focus and the Directrix

### Properties of Horizontal Parabola

### When "a" is negative

### Type II

### Examples

### Worksheet

Algebra | PreCalculus | AP Calculus |University Calculus

Algebra | PreCalculus | AP Calculus |University Calculus