Find the equation of function after the transformation of the parent function.
\The parent function is
.
Parent function compressed vertically by a factor of 3 means the function is multiplied by a factor
.
Since parent function is multiplied by a factor
it becomes
.
The parent function translated
units left, so
becomes
.
Then the function
.
The function translated
units up means add the value of function by
.
Since add the value of function by
, the function become changed to
.
The equation of function after the transformation of the parent function
.