Question

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

Answer 1

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`, then it can be easily seen that point (-2,4) also lies on the graph of on f(x)= `x^2`.