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What is the line of symmetry for the parabola whose equation is y equals -x2 plus x plus 3?
For a quadratic equation y=Ax2+Bx+C, the line of symmetry is given by x=-B/2ASo for the equation y=-x2+x+3, B is 1 and A is -1, so the line of symmetry isx=1/2
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
A parabola that opens upward?
A parabola that opens upward is a U-shaped curve where the vertex is the lowest point on the graph. It can be represented by the general equation y = ax^2 + bx + c, where a is a positive number. The axis of symmetry is a vertical line passing through the vertex, and the parabola is symmetric with respect to this line. The focus of the parabola lies on the axis of symmetry and is equidistant from the vertex and the directrix, which is a horizontal line parallel to the x-axis.
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
Why is the axis of symmetry halfway between two points on the parabola that have the same y-value?
The axis of symmetry is a line where if you were to fold the graph in half on that line, every point should perfectly match up with it's opposite.
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.
What is the line of symmetry for the parabola whose equation is y x2 - 12x 7?
y=x2-12x+7
What is the line of symmetry for the parabola whose equation is y equals x2 - 12x plus 7?
At: x = 6
What is the line of symmetry for the parabola whose equation is y x2 -x- 3?
-1
What is the line of symmetry for the parabola whose equation is y equals x2 plus 10x plus 25?
When x = -5
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).
What is the line of symmetry for the parabola whose equation is y equals -x2 plus x plus 3?
For a quadratic equation y=Ax2+Bx+C, the line of symmetry is given by x=-B/2ASo for the equation y=-x2+x+3, B is 1 and A is -1, so the line of symmetry isx=1/2
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
A parabola that opens upward?
A parabola that opens upward is a U-shaped curve where the vertex is the lowest point on the graph. It can be represented by the general equation y = ax^2 + bx + c, where a is a positive number. The axis of symmetry is a vertical line passing through the vertex, and the parabola is symmetric with respect to this line. The focus of the parabola lies on the axis of symmetry and is equidistant from the vertex and the directrix, which is a horizontal line parallel to the x-axis.
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 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 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.
