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Free functions symmetry calculator - find whether the function is symmetric about x-axis, y-axis or origin step-by-step
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Descubre si la función es simétrica respecto al eje x, al...
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Kostenlos Funktions-Symmetrie-Rechner - finde heraus, ob die...
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מחשבון סימטריה של פונקציות - מחשב צירי הסימטריה של פונקציות...
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Calcolatore gratuito della simmetria delle funzioni - scopri...
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Explore math with our beautiful, free online graphing calculator. Graph functions, plot points, visualize algebraic equations, add sliders, animate graphs, and more.
There are three types of symmetry: 1. X-Axis Symmetry. 2. Y-Axis Symmetry. 3. Origin Symmetry. If (x,y) (x, y) exists on the graph, then the graph is symmetric about the: 1. X-Axis if (x,−y) (x, - y) exists on the graph. 2. Y-Axis if (−x,y) (- x, y) exists on the graph. 3. Origin if (−x,−y) (- x, - y) exists on the graph.
Y-Axis Symmetry: Occurs if “x” is replaced with “-x”, and it yields the original equation. Origin Symmetry: Occurs if “x” is replaced with “ - x” and “y” is replaced with “ - y” , and it
16 lis 2022 · In this section we introduce the idea of symmetry. We discuss symmetry about the x-axis, y-axis and the origin and we give methods for determining what, if any symmetry, a graph will have without having to actually graph the function.
For symmetry with respect to the Y-Axis, check to see if the equation is the same when we replace x with −x: Example: is y = x 2 symmetric about the y-axis? Try to replace x with −x: Since (−x)2 = x2 (multiplying a negative times a negative gives a positive), there is no change. So y = x 2 is symmetric about the y-axis.
Check if the graph is symmetric about the y-axis by plugging in −x - x for x x. Simplify the right side. Tap for more steps... Since the equation is not identical to the original equation, it is not symmetric to the y-axis. Check if the graph is symmetric about the origin by plugging in −x - x for x x and −y - y for y y. Solve for y y.