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?

A. g(x)=3f(x)
​​B. g(x)=f(3x)
​​C. g(x)=13f(x)
​​D. g(x)=f(x3)

Answer 1

Vertical stretch of function:

Suppose, we are given to vertically stretch any function f by 'a' units

so, we multiply y-value by 'a'

assume

new function is g(x)

so, we get

`g(x)=a* f(x)`

now, we are given

The graph of function g is a vertical stretch of the graph of function f ​​by a factor of 3

so, a=3

so, we get

`g(x)=3f(x)`

option-A.........Answer