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Parabola
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- 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. The line of symmetry equation is given by, x = -b/2a.
www.cuemath.com/geometry/line-symmetry/Line Symmetry - Definition, Shapes, Examples | Line of Symmetry
A figure can have one or more lines of line symmetry depending on its shape and structure. For a parabola with quadratic equation y = ax 2 + bx + c, line of symmetry is x = -b/2a. ☛ Related Articles
Here you will learn about lines of symmetry, including symmetry properties within polygons, angle properties, and symmetry of different line graphs. Students first learn about line symmetry in grade 4 with their work with 2D shapes in geometry.
For more information on equations of straight line graphs, see the lesson equation of a line. A straight line also has a line of symmetry. Take the straight line y=x: y = x: If we constructed a line of symmetry at the origin, the line would be perpendicular (at 90 90 degrees to) the original line.
Such a figure is said to be Symmetrical. Axis of Symmetry : THe line that divides the figure into two identical parts is called Axis of Symmetry. Vertical Line of Symmetry : The axis of the shape which divides the shape into two identical halves, vertically, is called a vertical line of symmetry.
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 ...
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.
May 15, 2024 · 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. The equation of the line for the axis of symmetry is x=1. Example 2. Find the axis of symmetry of the parabola y = 4x2.
![Line of Symmetry of Regular Polygon [with Formula and Examples]](https://ca.images.search.yahoo.com/search/images?p=which+shape+has+a+line+symmetry+with+y+and+x&ei=UTF-8&th=116.3&tw=116.3&imgurl=https%3A%2F%2Fd1avenlh0i1xmr.cloudfront.net%2Flarge%2F0066d574-f25f-4b5b-9582-f44f0bc96ce6%2Fslide47.jpg&rurl=https%3A%2F%2Fwww.teachoo.com%2F12662%2F3444%2FLine-of-Symmetry---Regular-Polygon%2Fcategory%2FFigures-with-more-than-one-lines-of-symmetry%2F&size=62KB&name=Line+of+Symmetry+of+Regular+Polygon+%5Bwith+Formula+and+Examples%5D&oid=1&h=945&w=945&turl=https%3A%2F%2Ftse1.mm.bing.net%2Fth%3Fid%3DOIP.US3nRBGwOdl1ZquMbduEpAHaHa%26pid%3DApi%26rs%3D1%26c%3D1%26qlt%3D95%26w%3D116%26h%3D116&tt=Line+of+Symmetry+of+Regular+Polygon+%5Bwith+Formula+and+Examples%5D&sigr=ObSWnV7.wtLx&sigit=2Oi_OMLmsgHk&sigi=wVO.NVfNNYz8&sign=V1iVJdddM5bT&sigt=V1iVJdddM5bT "Line of Symmetry of Regular Polygon [with Formula and Examples]")
