Answer:
Please check the graph diagram attached.
From the diagram,
- The red line represents the parent function f(x) = x + 8
- The blue line represents the translated function f(x) = x + 3
It is clear the parent function f(x) = x+8 has been translated down 5 units.
Step-by-step explanation:
The rule to determine the translating down 'b' units:
f(x) – b
It means if we have to translate a function f(x) 'b' units down, all we need is to subtract the 'b' units from the function output.
Given the function
f(x) = x + 8
In order to translate 5 units down, all we need is to subtract 5 units from the function.
i.e.
f(x) = x + 8 - 5
f(x) = x+3
Thus, we conclude that f(x) = x+3 is the translated function.
Please check the graph diagram attached.
From the diagram,
- The red line represents the parent function f(x) = x + 8
- The blue line represents the translated function f(x) = x + 3
It is clear the parent function f(x) = x+8 has been translated down 5 units.
