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likoan [24]
3 years ago
6

The graph of function g is a vertical stretch of the graph of function f ​​by a factor of 3. Which equation describes function g

?
​​ g(x)=f(x3)

g(x)=3f(x)

​​ g(x)=13f(x)

​​ g(x)=f(3x)

Mathematics
2 answers:
DIA [1.3K]3 years ago
7 0
<h3><em>g(x)=3f(x) describes function G</em></h3>

<em>i just took the test i can confirm this is the answer </em>


forsale [732]3 years ago
6 0

Answer: The correct option is second, i.e., g(x)=3f(x).

Explanation:

A functions g(x) is stretch or compressed of graph of function f(x) is defined by the equation,

g(x)=kf(x)

Where, k is a constant and it shows the compress or stretch factor.

If k>0, then it is a stretch factor and the graph of f(x) is stretched by factor of k.

If k<0, then it is a compress factor and graph of f(x) is compressed by factor k.

Since the graph of g(x) is a vertical stretch of the graph of function f(x) ​​by a factor of 3, therefore,

g(x)=3f(x)

So, the option second is correct.

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