Which graph is symmetric with respect to the y axis

So, as with the first test, the left side is different from the original equation and the right side is identical to the original equation. Remember that if we take a negative to an odd power the minus sign can come out in front. Now, this time notice that all the signs in this equation are exactly the opposite form the original equation. This function has no symmetry of any kind.

Note that this is a circle centered at the origin and as noted when we first started talking about symmetry it does have all three symmetries. Notes Quick Nav Download. Stack Overflow for Teams — Collaborate and share knowledge with a private group. Create a free Team What is Teams? Learn more. How can I know that the graph is symmetric with respect to the x axis or y axis? Ask Question. Asked 8 years ago. Active 8 years ago. Viewed times.

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All right reserved. Homepage Free math problems solver! This graph is symmetric with respect to the origin. This mathematically shows that this graph is symmetric with respect to the origin. Visualizing symmetry. Explore the concepts of symmetry with respect to the x -axis, y -axis, and origin using this interactive demonstration. Select a type of symmetry by using the radio buttons below the graph. By clicking and dragging in the graph window below you can create a graph which exhibits that symmetry.

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