Question

Hello, is it possible to help me determine what the stretch factor of both of these graphs is?

Answer 1

The parent function is given below as

`y=x^3`

From the image below,

The parent function has been transformed by shifting it 2 units up to give the equation of b(x) below

`b(x)=x^3+2`

The function of a(x) is given below as

The stretch factor of b(x) is =1

The stretch factor of a(x) = 1/3

`\begin{gathered} a(x)=(1)/(3)x^3 \\ (b(x))/(a(x))=(1)/((1)/(3))=(1)/(1)*(3)/(1)=3 \end{gathered}`

By comparing the two functions, based on the stretch factor, we can thereby conclude that

`b(x)=3times\text{ }as\text{ }great`

Hence,

The THIRD OPTION is the right answer