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How does the graph of g (x) = StartFraction 1 Over x minus 5 EndFraction + 2 compare to the graph of the parent function f (x) = StartFracti
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How does the graph of g (x) = StartFraction 1 Over x minus 5 EndFraction + 2 compare to the graph of the parent function f (x) = StartFraction 1 Over x EndFraction?
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Mathematics
3 years
2021-08-24T11:41:28+00:00
2021-08-24T11:41:28+00:00 2 Answers
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Answer:
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Step-by-step explanation:
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Answer:
g(x) is shifted 5 units to the right and 2 units up
Step-by-step explanation:
We know that the translations equation is:
f(x) =
The denominator is responsible for the translation on the x-axis, and (k) is responsible for the translation on the y-axis.
Take that (x) is always lying, and lies about the positive and negative sign in the denominator. So whenever we see a sign we take its opposite. In this case we have :
Now that we know x is lying, we will take the translation of the denominator as 5 units to the right. After the fraction is over we have a +2, so we know that there is a translation of 2 units up.
Hope this helped……