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- are the same distance from a point (known as its focus) and a line (known as its directrix)
- are given by y=x2, where x is real
There are other characterisations.
Apex Answer: are the same distance from a point and a line.
Wiki User
∙ 7y ago
Wiki User
∙ 8y agoAll points (x, y) which satisfy the equation y = ax^2 + bx + c for a given set of constants a, b and c where a is not zero.
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Which geometric object is defined as the set of all points in a plane that are equidistant from one point?
Parabola - apex
Which geometric object is defined as the set of all points in a plane equidistant from a single point and a single line?
parabola
Which geometric objects is defined as the set of all points in a plane equidistant from a single point and a single line?
A parabola.
What are the zeros of a parabola?
They are the x-values (if any) of the points at which the y-value of the equation representing a parabola is 0. These are the points at which the parabola crosses the x-axis.
A parabola is defined as all points equidistant from a given directrix and focus.?
true
What is the set of all points in the plane equidistant from one point in the plane?
The set of all points in the plane equidistant from one point in the plane is named a parabola.
Which geometric object is defined as the set of all points in a plane that are equidistant from a point and a line?
parabola
How do you best describe a parabola?
The set of all points in a plane that are equidistant from a single point and a single line
What conic section is defined by the set of all points in a plane that are equidistant from a single point and a line?
It is a parabola.
Which geometric object is defined as the set of all points in a plane that are equidistant from one point?
Parabola - apex
Which geometric object is defined as the set of all points in a plane equidistant from a single point and a single line?
parabola
Which geometric objects is defined as the set of all points in a plane equidistant from a single point and a single line?
A parabola.
Briefly explain the focus and directrix of a parabola?
the set of points equidistant from a fixed point
What is the name of the point you use to define a parabola?
All of the points on a parabola define a parabola. However, the vertex is the point in which the y value is only used for one point on the parabola.
How do you find the domain and range of a parabola?
The domain is any subset of the real numbers that you choose, The range is the set of all values that the points in the domain are mapped to.
How do you find points on a parabola to graph them?
Select a set of x values and find the value of y or f(x) - depending on how the parabola is defined. These are the values that you need to graph.
What are the zeros of a parabola?
They are the x-values (if any) of the points at which the y-value of the equation representing a parabola is 0. These are the points at which the parabola crosses the x-axis.
