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Using the given equations of parabolas find the focus the directrix and the equation of the axis of symmetry of x2 -8y?
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What else can I help you with?
What is the equation of the axis of symmetry and the vertex of the graph gx-2x-12x 6?
There is no equation (nor inequality) in the question so there can be no graph - with or without an axis of symmetry.
What is the line of symmetry of the graph of the equation?
Answer this question… What is the line of symmetry of the graph of the equation ? A. x = -2 B. x = -4 C. x = -16 D. x = -8
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.
How many foci does a parabola have?
A parabola has a single focus point. There is a line running perpendicular to the axis of symmetry of the parabola called the directrix. A line running from the focus to a point on the parabola is going to have the same distance as from the point on the parabola to the closest point of the directrix. In theory you could look at a parabola as being an ellipse with one focus at infinity, but that really doesn't help any. ■
What is the line of symmetry for the parabola whose equation is y equals x2 plus 10x plus 25?
When x = -5
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 axis of symmetry for the parabola with vertex (-2 -4) and directrix y 1?
The axis of symmetry is x = -2.
Can two parabolas of the form with different vertices have the same axis of symmetry?
The form is not specified in the question so it is hard to tell. But two parabolas with different vertices can certainly have the same axis of symmetry.
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.
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
What equation is a line of symmetry for this graph (4-8)?
To determine the line of symmetry for the graph of the equation (y = 4x - 8), we need to identify the axis that divides the graph into two mirror-image halves. For linear equations like this one, the line of symmetry is typically vertical and can be found at the midpoint of the x-intercepts. In this case, since the graph is a straight line, it does not have a line of symmetry unless it is horizontal or vertical. Therefore, the concept of a line of symmetry does not apply to this linear equation.
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 axis of symmetry of a quadratic equation?
If a quadratic function has the points (-4,0) and (14,0), what is equation of the axis of symmetry?
The equation for the axis of symmetry is?
Your equation must be in y=ax^2+bx+c form Then the equation is x= -b/2a That is how you find 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.
How would you check correctness of parabola?
To check the correctness of a parabola, you can verify its equation by ensuring it matches the standard forms, such as (y = ax^2 + bx + c) or (x = ay^2 + by + c). Additionally, plot key points, including the vertex, focus, and directrix, and confirm that they align with the expected properties of the parabola. Lastly, you can check for symmetry about the axis of symmetry and ensure that it opens in the correct direction based on the coefficient (a).
What is the equation of the axis of symmetry and the vertex of the graph gx-2x-12x 6?
There is no equation (nor inequality) in the question so there can be no graph - with or without an axis of symmetry.
