To find another point on the graph using symmetry, we can use the point that is the reflection of the given point (2,0) across the line x = 2.
The reflection of the point (2,0) across the line x = 2 will have the same y-coordinate and the x-coordinate will be 4 units away from the line x = 2. So, the x-coordinate of the reflected point will be 2 - 4 = -2.
Therefore, the reflected point is (-2,0). This point also satisfies the equation x*2 + y*2 - 4 = 0, so (-2,0) is another point on the graph of the equation.
Thus, the points (2,0) and (-2,0) are symmetrically related and lie on the graph of the equation x*2 + y*2 - 4 = 0.
(2,0):x*2+y*2-4=0
use symmetry to find at least one more point on the graph
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1 answer