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

$g(x)=a\times f(x)$

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

Answer 2

Answer: The graph is translated 6 units  ✔ right The graph is  ✔ reflected over the x-axis.  The graph has a vertical ✔ stretch by a factor of 3. The function is represented by graph The function y = negative 3 StartRoot x minus 6 End Root is represented  by graph  ✔ A.