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Talja [164]
3 years ago
14

How does the graph of g (x) = StartFraction 1 Over x + 4 EndFraction minus 6 compare to the graph of the parent function f (x) =

StartFraction 1 Over x EndFraction?
g(x) is shifted 4 units right and 6 units up from f(x).
g(x) is shifted 4 units right and 6 units down from f(x).
g(x) is shifted 4 units left and 6 units up from f(x).
g(x) is shifted 4 units left and 6 units down from f(x).
Mathematics
2 answers:
Kaylis [27]3 years ago
7 0

Answer:

Option D.

Step-by-step explanation:

The given parent function is

f(x)=\dfrac{1}{x}

The given function is

g(x)=\dfrac{1}{x+4}-6

Using the parent function, the given function can be written as

g(x)=f(x+4)-6        ...(1)

The translation is defined as

g(x)=f(x+a)+b        .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

a=4>0, it means the graph shifts 4 units left.

b=-6, it means the graph shifts 6 units down.

So, g(x) is shifted 4 units left and 6 units down from f(x).

Therefore, the correct option is D.

fgiga [73]3 years ago
7 0

Answer:

D

Step-by-step explanation:

Took this on edge

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