Graph x^2 +y^2=9. what are the lines of symmetry

The lines of symmetry are the diameters, any straight line passing through the origin and touching both ends of the circle.

Step-by-step explanation:

Without graphing, this is the equation of a circle with center at the origin,

(0, 0) and with a radius of 3 units. The general equation of a circle with center (a, b) and with radius r units is given as;

The graph of the function is as shown in the attachment below;

A line of symmetry cuts the graph of a function into two equal parts such that these parts become mirror images of each other.

For the case of a circle, the line that divides the circle into two equal portions is the diameter. Any given circle has infinite number of diameters.

Therefore, the lines of symmetry are the diameters, any straight line passing through the origin and touching both ends of the circle.

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