Question

Please show all work

Answer 1

Given:

`f(x)=3\csc (x+6)-4`

To find:

We need to find the same transformation of the given function.

Step-by-step explanation:

`\text{Let g(x)=3csc(x) be the parent function of the given function.}`

The function g(x) is translated 6 units right and 4 units down to get f(x).

Consdier the function :

`f(x)=3e^(x+6)-4`

`\text{ Let g}\mleft(x\mright)=3e^x\text{ be the parent function.}`

:

`f(x)=3(x+6)^2-4`

`\text{ Let g}\mleft(x\mright)=3x^2\text{ be the parent function.}`

Final answer:

The following functions have the same transformation as give f(x0.

`f(x)=3e^(x+6)-4`

`f(x)=3(x+6)^2-4`