Answer:
The correct option is:
The graph of g(x) is the graph of f(x) translated 7 units up and 7 units right.
Option A is correct option.
Step-by-step explanation:
The parent function is:
The transformed function is:
We need to find the statement that best describes the transformed function.
We know the transformation rule:
If f(x) is transformed into f(x)+c, then the function is transformed vertically c units up.
If f(x) is transformed into f(x)-c, then the function is transformed vertically c units down.
If f(x) is transformed into f(x-c) then the function is transformed right c units.
If f(x) is transformed into f(x+c) then the function is transformed left c units.
So, In the given transformation:
The parent function is:
The transformed function is:
The transformed function is shifted 7 units up and 7 units right
So, The correct option is:
The graph of g(x) is the graph of f(x) translated 7 units up and 7 units right.
Option A is correct option.