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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?

​​g(x)=f(x/3) ​
g(x)=3f(x)
​​g(x)=f(3x) ​, ​
g(x)=1/3f(x)

1 Answer

3 votes

Answer:

  • B) g(x) = 3f(x)

Explanation:

What is a vertical stretch?

Given a function f(x), a new function g(x) = cf(x), where c is a constant, is a vertical stretch of f(x) when c > 1.

In our case the function f(x) is stretched by a factor of 3.

It means c = 3 and therefore:

  • g(x) = 3f(x)

Correct choice is B

User Jordi Castilla
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