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Another name for a parabola is a "quadratic curve." This term emphasizes its connection to quadratic functions, as parabolas are the graphical representation of equations of the form (y = ax^2 + bx + c). In some contexts, parabolas can also be referred to as "conic sections" when discussing their properties in relation to conic geometry.

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Why is it called a parabola?

The term "parabola" comes from the Greek word "parabole," meaning "to throw beside." This name reflects the geometric relationship between a parabola and a cone; specifically, a parabola can be formed by slicing a cone with a plane that is parallel to one of its sides. In mathematics, parabolas are described as the set of points that are equidistant from a fixed point (the focus) and a fixed line (the directrix).


What is another name for parabola?

Another name for a parabola is a "quadratic curve." This term reflects its mathematical representation as a second-degree polynomial equation in a Cartesian coordinate system. Parabolas are commonly encountered in various fields, including physics and engineering, particularly in the study of projectile motion and the design of reflective surfaces.


Which way does a parabola open when the coefficient of its x2 term a is a negative?

A parabola opens downward when the coefficient of its ( x^2 ) term (denoted as ( a )) is negative. This means that the vertex of the parabola is the highest point on the graph. Conversely, if ( a ) is positive, the parabola opens upward.


Which way does a parabola open when the coefficient of its y term a is negative?

When the coefficient of the y term ( a ) in the equation of a parabola is negative, the parabola opens downward. This means that its vertex is the highest point on the graph. Conversely, if ( a ) were positive, the parabola would open upward.


Given the standard equation for a parabola opening left or right which way does a parabola open when the coefficient of the y2-term a is positive?

right

Related Questions

What is a another term used for 100 in mathematics?

Cent or grand.


What does the term latus rectum of parabola mean?

The latus rectum of a parabola is a segment with endpoints on the parabola passing through the focus and parallel to the directrix.


The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5 What is the coefficient of the squared term in the parabola's equation?

The vertex of this parabola is at -2 -3 When the y-value is -2 the x-value is -5. The coefficient of the squared term in the parabola's equation is -3.


Given the standard equation for a parabola opening left or right which way does a parabola open when the coefficient of the y2-term a is positive?

right


When does a parabola open down?

No, a parabola is the whole curve, not just a part of it.


The vertex of this parabola is at (2, -4) When the y-value is -3, the x-value is -3 What is the coefficient of the squared term in the parabola's equation?

-5


Which way does a parabola open when the coeffienct y2-term a is positive?

right


Which way does a parabola open when the coefficient of its y2-term is negative?

LEFT


Where can one find images of 'eccentricity'?

Eccentricity can be found in mathematics problems. Eccentricity is another term for the symbols and shapes we use when we are writing out most advanced mathematics problems.


Given the standard equation for a parabola opening left or right which way does a parabola open when the coefficient of the y2-term a is positive Left or right?

left


What is another word for first name?

Another term for "first name" is "given name".


Given the standard equation for a parabola opening up or down which way does a parabola open when the coefficient of the x2 term a is positiveUp or down?

In that case it opens upwards.