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audriexpress
20.07.2019 •
Mathematics
Write an equation for the translation of y = 6/x that has the asymptotes x = 4 and y = 5. a.) y = 6/x+4 + 5 b.) y = 6/x-4 + 5 c.) y = 6/x+5 + 4 d.) y = 6/x-5 + 4
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Ответ:
Explanation:
1) The given equation is y = 6 / x
2) The vertical asympote is x = 0, since the function is not defined at x = 0, and the limits of f(x) when x → 0 from the right is ∞, and the limit from the left is - ∞.
3) The horizontal asympotes are the value of the limits of f(x) when x → +/- ∞.
The limit of 6 /x when x → ∞ or - ∞ is 0, so the asymptote is y = 0.
4) Now you want the new asymptotes be x = 4 and y = 5. Then you have to translate the function 4 units to the right and 5 units upward.
That means that the function has to be undefined at x = 4, which leads to make the denominator of the function x - 4.
And to translate the horizontal asympotote 5 units upward you have to add 5 to the function.
That is: y = 6/(x - 4) + 5, which is the option b.
Ответ:
y = 6 / (x + 4) + 5
Step-by-step explanation:
Ответ:
Hello. Please add an image or screenshot, or provide the coordinates of GFE. When you do, I will get back to you.
Step-by-step explanation: