Question: Let d 1 and d 2 be the distances from the point (x, y) to the points (-1, 0) and (1, 0), respectively, as shown

Let d₁ and d₂ be the distances from the point (x, y) to the points (-1, 0) and (1, 0), respectively, as shown in the figure. Show that the equation of the graph of all points (x, y) satisfying d₁d₂ = 1 is

This curve is called a lemniscate. Graph the lemniscate and identify three points on the graph.

(x + y) = 2(x - y).

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