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    • Parabola

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      byjus.com

      • A parabola has one line of symmetry. The axis of the symmetry is the straight line that divides a parabola into two symmetrical parts. The parabola can be in four forms. It can be either horizontal or vertical, facing left or right.
      www.cuemath.com/algebra/axis-of-symmetry/
  1. Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

    • which shape has a line symmetry with y axis x1
    • which shape has a line symmetry with y axis x2
    • which shape has a line symmetry with y axis x3
    • which shape has a line symmetry with y axis x4
    • Line Symmetry Representation
    • Line Symmetry in Square
    • Line Symmetry in Rectangle
    • Line Symmetry in Triangle
    • Line Symmetry in Circle

    The very first thing to check is that the object tends to have a reflection of one-half. Imagine folding a rhombus or square along each line of symmetry and each of the half matching up perfectly, then this is symmetry. Thus, a shapehas to have at least one line of symmetry to be considered as a shape with line symmetry or mirror symmetry. It is kn...

    A square has 4 lines of symmetry, which are lines through the opposite vertices, and the lines through the midpointsof opposites sides make up the four lines of symmetry. So, a square has 1 vertical, 1 horizontal, and 2 diagonal lines of symmetry.

    A rectanglehas two lines of symmetry, that is lines through the midpoints of opposites sides. When a rectangle is folded across its diagonals, the shape is not symmetrical. So, a rectangle has just 1 vertical and 1 horizontal line of symmetry.

    The line symmetry in a triangledepends upon its sides. If a triangle is scalene, then it has no line symmetry. If a triangle is isosceles, then it has at least one line of symmetry, and if the triangle is equilateral, then it has three lines of symmetry.

    Since an infinite number of lines can be drawn inside a circlepassing through its center, therefore a circle has an infinite number of lines of symmetry. In coordinate geometry, a parabola has a line symmetry and its line of symmetry passes through its vertex. For a parabola with quadratic equation y = ax2+ bx + c, the line symmetry equation is of ...

  2. In the coordinate plane, the graph of an equation can have symmetry about the x-, y-axis, or some other line. x-axis symmetry. A graph is said to have x-axis symmetry if whenever the point, (x, y), is on the graph, then (x, -y) is also on the graph. y-axis symmetry. A graph has y-axis symmetry if whenever the point (x, y) is on the graph, then ...

  3. May 15, 2024 · This means that the axis of symmetry is the vertical line passing through x = -b/ (2a). This line will split the parabola into two equal halves. For example, if we are given the equation for a parabola in standard form such as y = x 2 + 6x + 3, we know that a=1, b=6, and c=3.

  4. State the equation of the lines of symmetry for the equation y=\frac {4} {x} y = x4. Locate the centre of the 2D shape. Show step. The graph of y=\frac {4} {x} y = x4 has two asymptotes. Asymptotes are lines that are reached when a value is undefined, in this case when x=0, x = 0, or y=0 y = 0.

  5. A line of symmetry is the line that divides a shape or an object into two equal and symmetrical parts. We also call this line the axis of symmetry or mirror line because it divides the figure symmetrically, and the divided parts look like mirror reflections of each other.

  6. You can find if a shape has a Line of Symmetry by folding it. When the folded part sits perfectly on top (all edges matching), then the fold line is a Line of Symmetry. Here I have folded a rectangle one way, and it didn't work .

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