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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 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
Are all parabola are symmetrical?
Yes, all parabolas are symmetrical. They exhibit a reflective symmetry about their vertical axis, which is the line that passes through the vertex and is perpendicular to the directrix. This symmetry means that for any point on one side of the parabola, there is a corresponding point on the opposite side at an equal distance from the axis of symmetry.
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 formula used to find the axis of symmetry?
The formula to find the axis of symmetry for a quadratic function in the form (y = ax^2 + bx + c) is given by (x = -\frac{b}{2a}). This vertical line divides the parabola into two mirror-image halves. The axis of symmetry passes through the vertex of the parabola and is crucial for graphing the function.
Which point of parabola is on the axis of symmetry?
Its extremum is on its axis of symmetry.
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.
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).
What is the axis of symmetry for the parabola with vertex (-2 -4) and directrix y 1?
The axis of symmetry is x = -2.
Parts of a parabola?
There's the vertex (turning point), axis of symmetry, the roots, the maximum or minimum, and of course the parabola which is the curve.
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 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
Why is the vertical line that passed through the vertex of a parabola called the axis of symmetry?
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What is the line of symmetry for the parabola whose equation is y -x2 x 3?
Did you mean a parabola with equation y=3x^2? The line of symmetry is x=0 or the y-axis.
An equation of a parabola that has x equals 2 as its axis of symmetry is?
How about y = (x - 2)2 = x2 - 4x + 4 ? That is the equation of a parabola whose axis of symmetry is the vertical line, x = 2. Its vertex is located at the point (2, 0).
Are all parabola are symmetrical?
Yes, all parabolas are symmetrical. They exhibit a reflective symmetry about their vertical axis, which is the line that passes through the vertex and is perpendicular to the directrix. This symmetry means that for any point on one side of the parabola, there is a corresponding point on the opposite side at an equal distance from the axis of symmetry.
What is an equation of the axis of symmetry of the parabola represented by y equals -x2 plus 6x-4?
Line of symmetry: x = 3
