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Write an Equation for Hyperbolas>
Write an Equation for HyperbolasWrite an Equation for Hyperbolas
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Question 1 of 3
1. Question
Write the equation of the cubic graph shown on the number plane below.Hint
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The standard form of the equation of a hyperbola is `y=\frac{k}{x}` or `yx=k`.Use the point `(2,4)` shown on the graph to find the value of `k`.The `x`coordinate of this point is `2`, and the `y`coordinate of this point is `4`.So we should substitute `x=2` and `y=4` into the equation `y``x``=k`, and solve to find `k`.`4``\cdot``2``=k`.`k=8`Substitute the value for `k` and write the equation of the graph.`y=\frac{8}{x}` 
Question 2 of 3
2. Question
Write the equation of the cubic graph shown on the number plane below.Hint
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The standard form of the equation of a hyperbola is `y=\frac{k}{x}` or `yx=k`.Use the point `(2,3)` shown on the graph to find the value of `k`.The `x`coordinate of this point is `2`, and the `y`coordinate of this point is `3`.So we should substitute `x=2` and `y=3` into the equation `y``x``=k`, and solve to find `k`.`3``\cdot``2``=k`.`k=6`Substitute the value for `k` and write the equation of the graph.`y=\frac{6}{x}` 
Question 3 of 3
3. Question
Write the equation of the cubic graph shown on the number plane below.Hint
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Exceptional!
Incorrect
The standard form of the equation of a hyperbola is `y=\frac{k}{x}` or `yx=k`.Use the point `(5,4)` shown on the graph to find the value of `k`.The `x`coordinate of this point is `5`, and the `y`coordinate of this point is `4`.So we should substitute `x=5` and `y=4` into the equation `y``x``=k`, and solve to find `k`.`4``\cdot``5``=k`.`k=20`Substitute the value for `k` and write the equation of the graph.`y=\frac{20}{x}`
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