Question

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)

Answer 1

g(x)=3f(x) describes function G

i just took the test i can confirm this is the answer

Answer 2

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.