Answer:
we conclude that the given graph is a cubic function and is translated by shifting 2 units to the left.
Thus, the graph is shifted left by 2 units.
The graph of the parent function f(x)=x³ and f(x+2) = f(x+2)² is shown below.
Step-by-step explanation:
If we carefully analyze the given graph, it is clear that the given graph is the transformed image of form f(x+b) of parent cubic graph f(x) = x³.
In this graph, the function f(x) has been moved over 2 units to the left.
In order to shift a function 2 units to the left, we need to add '2' inside the function's input.
In other words,
f(x+2) = f(x+2)² means the function f(x) is shifted 2 units to the left.
Therefore, we conclude that the given graph is a cubic function and is translated by shifting 2 units to the left.
Thus, the graph is shifted left by 2 units.
The graph diagram of the parent function f(x)=x³ and f(x+2) = f(x+2)² is shown
below.
- The red graph is representing f(x)=x³
- The blue graph is representing f(x+2) = f(x+2)²
