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    • Parabola

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      socratic.org

      • 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 = ax 2 + bx + c, the line symmetry equation is of the form x = n, where n is a real number.
  1. 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.

    • Rotations

      Rotate the shaded shape 90^o clockwise about the fixed...

  2. This page will helps you to understand the concepts of symmetry, lines of symmetry, types of symmetry along with example alphabets A to Z ,numbers 0 to 9 and major geometry shapes. Symmetry : The dotted line divides the figure into two identical parts.

    • 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 ...

  3. 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 and z coordinates1
    • which shape has a line symmetry with y and z coordinates2
    • which shape has a line symmetry with y and z coordinates3
    • which shape has a line symmetry with y and z coordinates4
  4. May 15, 2024 · Line of Symmetry Examples. Example 1. Find the axis of symmetry of the parabola y = -2x2 − 4x + 8. Solution: Given equation: y = -2x 2 − 4x + 8. Compare the given equation with the standard form ax 2 + bx + c. ⇒ a = -2, b = −4, c = 8. Use the formula of axis of symmetry = −b/2a. = − (−4)/2 (-2) ⇒ x = 1.

  5. 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.

  6. A line of symmetry is an imaginary line that divides a shape into two equal halves, in a way that each half is a mirror image of the other. When a shape is folded along its line of symmetry, the two halves match exactly.

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