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What is the equation of the function y=2/x translated 3 units to the left and 4 units up?

a. y=2/x-3 -4
b. y=2/x+3 -4
c. y=2/x-3+4
d. y=2/x+3 +4

User LeBen
by
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1 Answer

6 votes

Answer:


y=(2)/(x+3)+4

Explanation:

Equation :
f(x) = y= (2)/(x)

Initially the graph of the given function is translated 3 units to the left

Rule : When the graph is translated by b units to left

So,
f(x)\rightarrow f(x+b)

Since we are given that initially the graph is translated 3 units to the left

So, b = 3

So,
(2)/(x)\rightarrow (2)/(x+3)

Now,
f(x) = y =(2)/(x+3)

Now the graph is again translated by 4 units up.

Rule : When the graph is translated by b units up

So ,
f(x)\rightarrow f(x)+b

Since we are given that the graph is translated 4 units up

So, b = 4

So,
(2)/(x+3)\rightarrow (2)/(x+3)+4

Thus
f(x)=y=(2)/(x+3)+4

Hence Option D is correct:
y=(2)/(x+3)+4

User Malky
by
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