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Aliun [14]
4 years ago
9

If the graph of function g is 6 units below the graph of function f, which could be function g? f(x) = -2x + 7 A. g(x) = -2x + 1

B. g(x) = -2x − 6 C. g(x) = -6x + 7 D. g(x) = -2x + 20
Mathematics
1 answer:
maw [93]4 years ago
4 0

Answer:

A. g(x)=-2x+1

Step-by-step explanation:

Given:

f(x)=-2x+7

The function f(x) is shifted 6 units below which forms the function g(x)

To find the function g(x), we apply the following translation rules:

f(x)\rightarrow f(x)+c

If c>0 the function f(x) shifts c units up.

If c the function f(x) shifts c units down.

Since the function f(x) is shifting 6 units below, thus value of c which is taken as  -6.

The translation occurring here is given by:

f(x)\rightarrow f(x)-6

Thus,

g(x)=f(x)-6

Substituting f(x)=-2x+7

g(x)=-2x+7-6

∴ g(x)=-2x+1

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