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The distance from the green point on the parabola to the parabola's focus is 9 What is the distance from the green point to the directrix?
9
What best describes a single fixed point that is the same distance from the parabola as the directrix is from the parabola?
Locus
Are the directrix and focus different distances from a given point on a parabola?
One definition of a parabola is the set of points that are equidistant from a given line called the directrix and a given point called the focus. So, no. The distances are not different, they are the same. The distance between the directrix and a given point on the parabola will always be the same as the distance between that same point on the parabola and the focus. Any point where those two distances are equal would be on the parabola somewhere and all the points where those two distances are different would not be on the parabola. Note that the distance from a point to the directrix is definied as the perpendicular distance (also known as the minimum distance).
Is equidistant from a given directrix and focus?
Any point on a parabola.
Which point of parabola is on the axis of symmetry?
Its extremum is on its axis of symmetry.
Parabola is the point at which the parabola is at its lowest or highest point?
A parabola is NOT a point, it is the whole curve.
What do you call the highest or the lowest point of a parabola?
The highest point of a parabola is called the "maximum," while the lowest point is referred to as the "minimum." These points occur at the vertex of the parabola. If the parabola opens upwards, it has a minimum point, and if it opens downwards, it has a maximum point.
What a parabola the extreme point (which is the highest lowest or farthest point left or right) is called the?
The extreme point of a parabola is called the vertex. In a parabola that opens upwards, the vertex represents the lowest point, while in a parabola that opens downwards, it represents the highest point. The vertex is a crucial feature for understanding the shape and direction of the parabola.
What is the extreme point on a parabola?
The highest or lowest point of the parabola, it is the point that is closest to the focus. The extreme point lies on the axis of symmetry
What is the highest or lowest point on a graph called?
The vertex is the highest or lowest point on a graph.
What is the extreme point of a parabola?
The extreme point it the highest or lowest point of the parabola (depending if it is concave downwards or upwards). It is the point of the parabola tat is closest to the focus. the extreme point lies on the axis of symmetry.
What does vertex mean in math class?
A vertex is the highest or lowest point in a parabola.
Where is the axis of symmetry of a parabola located?
Parallel to the y-axis, going through the highest/lowest point of the parabola (if the parabola is negative/positive, respectively).
On a parabola the extreme point which is the highest lowest or farthest point left or right is called a...?
The extreme point is called a vertex.
How do you know if a parabola has a minimum or maximum value?
When you look at the parabola if it opens downwards then the parabola has a maximum value (because it is the highest point on the graph) if it opens upward then the parabola has a minimum value (because it's the lowest possible point on the graph)
What is the highest or lowest point on the graph of a quadratic function?
The highest or lowest point on the graph of a quadratic function, known as the vertex, depends on the direction of the parabola. If the parabola opens upwards (the coefficient of the (x^2) term is positive), the vertex represents the lowest point. Conversely, if the parabola opens downwards (the coefficient is negative), the vertex is the highest point. The vertex can be found using the formula (x = -\frac{b}{2a}) to find the (x)-coordinate, where (a) and (b) are the coefficients from the quadratic equation (ax^2 + bx + c).
What is the highest point and the lowest point?
The highest point in the world is mt.Everest and the lowest point in the world is somewhere in Antarctica
