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How to Find Axis of Symmetry?

TopEvery Graphical representation consists of axes. If it is a two dimensional representation than two axes are considered X- axis and Y- axis and if it’s a three dimensional representation then three axes that are X, Y and Z axis are considered. Axis of symmetry along Y- axis is defined as symmetry on any figure in a graph such that portion of figure on left hand side of Y- axis will be equals to right hand side of axis and symmetry along Y- axis is defined as symmetry in which upper portion of X- axis is similar or equal to lower portion of X- axis. Now we need to know how to find Axis of Symmetry. Suppose we need to find axis of symmetry for any Quadratic Equation then it is represented in the form of y= -a/2b. Where ‘a’ and ‘b’ are values obtained from quadratic equation in form ax + by + c = 0. Now consider a quadratic equation that is y2 + 6y + 13 = 0. Now how to find axis of symmetry for this equation or we can say quadratic equation is shown:
 
Here values of a, b, and c thus obtained, area is equals to 1, b equals to 6 and c equals to 13. And since we know that axis of symmetry for any quadratic equation is y = -b/2a, therefore axis of symmetry for this quadratic equation is also represented using above formula and finally we get result as 'y' equals to (-6)/ (2 *1) and result is obtained as 'y' equals to -3. Thus axis of symmetry for above equation is at 'y' where its value is -3. And we know that symmetry over y- axis is such that portion to left of Y- axis is equals to portion at right side. Thus area to left -3 at Y- axis will be equals to area at right of Y- axis.