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erma4kov [3.2K]
2 years ago
6

Which statement correctly describes the relationship between the graph of f(x)g(x) and g(x)=f(x−7)?

Mathematics
2 answers:
Talja [164]2 years ago
8 0

Answer:

The graph of g(x) is the graph of ​f(x)​ translated 7 units right.

Step-by-step explanation:

Given : Two graph f(x) and g(x)=f(x-7)

To find : The relationship between f(x) and g(x)

Solution : In the graph g(x) the function f(x) changes with 7 unit

As we know, if the value b is subtract from x then there is a right shift in the graph

f(x)→f(x-a)⇒ there is a right shift with b unit.

⇒ In graph g(x), b=7

So there is right shift in graph with 7 unit.

Therefore,The graph of g(x) is the graph of ​f(x)​ translated 7 units right.

Lelu [443]2 years ago
4 0
G(x) would have to be -->7 units.
The relationship between f(x) and s(x) where s(x)=af(x-b)+z is that g(x) is f(x) stretched by the reciprocal of a, b is the liar (all x values go up if b goes down and visa versa), and it moves up z units. 
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The measure of ∠1 =<br><br> 43<br> 86<br> 274
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The graph of which function passes through (0,3) and has an amplitude of 3? f (x) = sine (x) + 3 f (x) = cosine (x) + 3 f (x) =
Cloud [144]

Answer:

f(x)=3*cosine(x)

Step-by-step explanation:

We are looking for a trigonometric function which contains the point (0, 3), and has an amplitude of 3.

We know that for a sine function f(x)=sin(x), f(0)= 0; therefore the function we a looking for cannot be a sine function because it is zero at x=0.

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