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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?


A.g(x)=3f(x)

B.​​ g(x)=f(3x)

C.​​ g(x)=f(x3)

D.​​ g(x)=13f(x)

Respuesta :

Question says that the graph of function g is a vertical stretch of the graph of function f ​​by a factor of 3.


Now we have to find about which equation describes function g.


We know that if f(x) is the given function then a*f(x) gives vertical stretch or compress by a factor of a.

when 0<a<1 then it compresses by factor of a.

when a>1 then it stretches vertically by factor of a.


Given that function f is stretched by a factor of a so that means  we use a=3 in formula a*f(x)


Hence final answer will be g(x)=3f(x).

So choice A is correct answer.