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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
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.
What is a another term used for 100 in mathematics?
Cent or grand.
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.
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 coefficient of its y2-term is negative?
LEFT
Which way does a parabola open when the coeffienct y2-term a is positive?
right
