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What line divides the parabola where one point on one side of the parabola and the corresponding point on the other side?
the axis of symmetry
What is The vertical line passing through the vertex of parabola is called?
The vertical line passing through the vertex of a parabola is called the axis of symmetry. It divides the parabola into two mirror-image halves and is perpendicular to the directrix. The equation of this line can be represented by the x-coordinate of the vertex in the case of a vertically oriented parabola.
What is the vertical line containing the vertex of a parabola called?
The vertical line containing the vertex of a parabola is called the axis of symmetry. This line is perpendicular to the directrix and divides the parabola into two mirror-image halves. For a parabola defined by the equation (y = ax^2 + bx + c), the axis of symmetry can be found using the formula (x = -\frac{b}{2a}).
What is the difference between a cubic and a parabola and line?
A cubic line is in a cube shape line. and Parabola is a straight line
What is the definition of parabola?
There are several ways of defining a parabola. Here are some:Given a straight line and a point not on that line, a parabola is the locus of all points that are equidistant from that point (the focus) and the line (directrix).A parabola is the intersection of the surface of a right circular cone and a plane parallel to a generating line of that surface.A parabola is the graph of a quadratic equation.
Where is the line of symmety located on a parabola?
The line of symmetry located on a parabola is right down the center. A parabola is a U shape. Depending on the direction of the parabola it either has a x axis of symmetry or y axis of symmetry. You should have two equal sides of the parabola.
What is the directrix of a parabola?
"From the geometric point of view, the given point is the focus of the parabola and the given line is its directrix. It can be shown that the line of symmetry of the parabola is the line perpendicular to the directrix through the focus. The vertex of the parabola is the point of the parabola that is closest to both the focus and directrix."-http://www.personal.kent.edu/~rmuhamma/Algorithms/MyAlgorithms/parabola.htm"A line perpendicular to the axis of symmetry used in the definition of a parabola. A parabola is defined as follows: For a given point, called the focus, and a given line not through the focus, called the directrix, a parabola is the locus, or set of points, such that the distance to the focus equals the distance to the directrix."-http://www.mathwords.com/d/directrix_parabola.htm
When a quadratic function is graphed what is the name of the shape formed?
When a quadratic function is graphed, the shape formed is called a parabola. This U-shaped curve can open either upwards or downwards, depending on the coefficient of the quadratic term. The vertex of the parabola represents the highest or lowest point of the graph, and the axis of symmetry is a vertical line that divides the parabola into two mirror-image halves.
How do you find the equation of a axis of symmetry?
To find the equation of the axis of symmetry for a parabola given in the standard form (y = ax^2 + bx + c), you can use the formula (x = -\frac{b}{2a}). This value of (x) represents the vertical line that divides the parabola into two mirror-image halves. If the parabola is represented in vertex form (y = a(x-h)^2 + k), the axis of symmetry is simply the line (x = h).
How do you find the endpoints of a parabola when you have the function of the line?
A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.A parabola has no endpoints: it extends to infinity.
What are the properties of parabola?
A parabola is a symmetrical curve defined as the set of all points equidistant from a fixed point called the focus and a fixed line called the directrix. It opens either upwards or downwards for vertical parabolas, and left or right for horizontal ones. The vertex is the point where the parabola changes direction, and the axis of symmetry is a line that passes through the vertex and divides the parabola into two mirror-image halves. Additionally, parabolas have a quadratic equation in the form (y = ax^2 + bx + c) for vertical orientation.
Can a parabola shape be in any direction?
Yes, but a parabola, itself, can have only a vertical line of symmetry.
