How to pronounce parabola?
parabola
noun
How to pronounce parabola?
The word parabola sounds like pa-rab-o-la
/pə'ræbələ/
What is the definition of parabola?
nouna plane curve formed by the intersection of a right circular cone and a plane parallel to an element of the curve
What is the definition of parabola?
- A parabola is a symmetrical curve formed by the intersection of a cone with a plane parallel to its side.
What is the equation of a parabola?
- The general equation of a parabola is y = ax^2 + bx + c, where a, b, and c are constants.
What are the properties of a parabola?
- A parabola is symmetric with respect to its axis, which is the vertical line passing through the vertex.
- The vertex is the lowest or highest point on the parabola.
- The axis of symmetry divides the parabola into two congruent halves.
- The focus is a point on the axis of symmetry and is equidistant from the vertex and the directrix.
- The directrix is a line perpendicular to the axis of symmetry and is a fixed distance from the vertex.
What is the focus of a parabola?
- The focus of a parabola is a fixed point that lies on the axis of symmetry and is equidistant from the vertex and the directrix.
What is the directrix of a parabola?
- The directrix of a parabola is a fixed line that is perpendicular to the axis of symmetry and is a fixed distance from the vertex.
What is the vertex of a parabola?
- The vertex of a parabola is the lowest or highest point on the curve.
What are the different types of parabolas?
- There are two types of parabolas: upward-opening parabolas and downward-opening parabolas.
- The upward-opening parabola has its vertex at the lowest point, while the downward-opening parabola has its vertex at the highest point.
How do you graph a parabola?
- To graph a parabola, plot the vertex, which is the lowest or highest point on the curve.
- Use the axis of symmetry to find additional points on the parabola.
- The shape of the parabola depends on the coefficient 'a' in the equation.
- If 'a' is positive, the parabola opens upward, and if 'a' is negative, the parabola opens downward.
What are the real-life applications of parabolas?
- Parabolas have various applications in physics, engineering, and architecture.
- They are used to design satellite dishes, reflectors, and headlights.
- In sports like baseball and golf, parabolic paths are followed by projectiles.
- The suspension cables of bridges also form parabolic shapes.
Who discovered the parabola?
- The ancient Greek mathematician, Apollonius of Perga, is credited with discovering and studying the properties of the parabola.
