Is the function $f (x) = x^{2}$ $f(x) = x^2$ symmetric with respect to the y-axis?

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Is the function $f (x) = x^{2}$ $f(x) = x^2$ symmetric with respect to the y-axis?

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Answer 1 · 2015-04-19T16:26:30

Yes

A graph is symmetrical about y-axis, if there is a point (a,b) on the graph, then (-a,b) is also on the graph.

For example, if we consider some point, say (2,4) on f(x)= $x^{2}$ $x^2$ , then it can be easily seen that point (-2,4) also lies on the graph of on f(x)= $x^{2}$ $x^2$ .

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Is the function $f (x) = x^{2}$ $f(x) = x^2$ symmetric with respect to the y-axis?

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