If f of x is an even function and open paren 6 comma 8 close paren is one the points on the graph of f of x , which reason explains why open paren negative 6 comma 8 close paren must also be a point on the graph?

An even function satisfies f(-x) = f(x), so inputs that are opposites have the same output. Since the point (6, 8) means f(6) = 8, it follows that f(-6) = 8, giving the point (-6, 8). Choice B states this rule; the symmetry is across the y-axis, not rotational symmetry.

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