Given:
[tex]f(x)=3\csc (x+6)-4[/tex]
To find:
We need to find the same transformation of the given function.
Explanation:
[tex]\text{Let g(x)=3csc(x) be the parent function of the given function.}[/tex]
The function g(x) is translated 6 units right and 4 units down to get f(x).
Consdier the function :
[tex]f(x)=3e^{x+6}-4[/tex]
[tex]\text{ Let g}\mleft(x\mright)=3e^x\text{ be the parent function.}[/tex]
:
[tex]f(x)=3(x+6)^2-4[/tex]
[tex]\text{ Let g}\mleft(x\mright)=3x^2\text{ be the parent function.}[/tex]
Final answer:
The following functions have the same transformation as give f(x0.
[tex]f(x)=3e^{x+6}-4[/tex]
[tex]f(x)=3(x+6)^2-4[/tex]
