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The axis of symmetry is an imaginary straight line that divides a shape into two identical parts, thereby creating one part as the mirror image of the other part. When folded along the axis of the symmetry, the two parts get superimposed. The straight line is called the line of symmetry/the mirror line.
Aug 3, 2023 · The vertex form of a quadratic equation is y = a (x – h) 2 + k, Equation of axis of symmetry is, x = h, here (h, k) = vertex of the parabola. We obtain the vertex of the function (x, y) by substituting the value of x in the standard form of the equation and get the value of y. Let us solve some examples involving the above formulas and concepts.
Oct 8, 2024 · This is the equation of the axis of symmetry for parabolas in the standard form y = ax 2 + bx + c. Similarly, if the parabola opens horizontally (i.e., left/right), we can get the equation for the axis of symmetry by finding the midpoint of the y-intercepts. Finding the Axis of Symmetry of the Parabola y = 2x2 + 8x + 5.
The axis of symmetry of a parabola is a vertical line through the vertex (turning point) of the parabola. For the quadratic function f (x) = ax 2 + bx + c, the axis of symmetry is the vertical line x = -b / 2a. The x-value of the axis of symmetry is the average of the two zeros of the quadratic. We can see this by adding the two zeros from the ...
Oct 6, 2021 · A parabola is the set of all points (x, y) (x, y) in a plane that are the same distance from a fixed line, called the directrix, and a fixed point (the focus) not on the directrix. The standard form of a parabola with vertex (0, 0) (0, 0) and the x -axis as its axis of symmetry can be used to graph the parabola.
Examples of Axis Of Symmetry Of Parabola. Example 1: Find the axis of symmetry of parabola x 2 = -12y. Solution: The given equation of parabola x 2 = -12y can be compared with the standard equation of the parabol x 2 = -4ay. This parabola represents an inverted U form of a parabola with the y-axis as its axis.
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What happens when a parabola is folded along the axis of symmetry?
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Since the parabola is symmetrical around its vertex, the axis of symmetry is a vertical line passing through the vertex. Therefore, the axis of symmetry is x = 1. Example 3. Write the equation for the axis of symmetry. y = x 2 + 8 x + 11. Solution: The vertex of the parabola is at (− 4, − 5).
