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)
g(x)=f(x3)
g(x)=3f(x)
g(x)=13f(x)
g(x)=f(3x)
2 answers:
<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>
Answer: The correct option is second, i.e., .
Explanation:
A functions g(x) is stretch or compressed of graph of function f(x) is defined by the equation,
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,
So, the option second is correct.
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