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quantizedzeus
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Can anyone tell me how the graph would be if the equation is XY=K(K is constant)?...
quantizedzeus said:Can anyone tell me how the graph would be if the equation is XY=K(K is constant)?...
The graph of XY=K is a hyperbola, with two branches that extend outwards from the origin.
The value of K determines the shape and position of the hyperbola. A larger value of K will result in a wider and flatter hyperbola, while a smaller value of K will result in a narrower and taller hyperbola.
Yes, both X and Y cannot equal 0 as this would make the equation undefined. Additionally, any value that makes the denominator (either X or Y) equal to 0 would also be undefined.
Yes, the graph can intersect the X or Y axis at the point (K,0) or (0,K), respectively. However, it will never intersect both axes at the same time.
The vertices can be found by setting X or Y equal to 0, depending on which axis the vertex lies on. The asymptotes can be found by solving for X or Y in terms of K and setting the resulting equation equal to 0.