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Answer:
Please check the attached diagram.
Thus, we conclude that:
In the diagram,
- The red line represents the parent function f(x) = x
- The blue line represents the function f(x) = x+1
The blue line indicates that the parent function has been shifted 1 unit upward.
Step-by-step explanation:
Let us recall some transformation knowledge.
We know that
if y = f(x), then y = f(x) + b simply means a transformation of (0, b).
In other words, if we add some constant let say 'b' in the output or y-value, the graph simply shifts upward by b units.
Given that
f(x) = x
so
f(x+1) = x+1 means the parent function f(x) = x has been shifted 1 unit upward.
Please check the attached diagram.
Thus, we conclude that:
In the diagram,
- The red line represents the parent function f(x) = x
- The blue line represents the function f(x) = x+1
The blue line indicates that the parent function has been shifted 1 unit upward.
