The value 3 represents the vertical translation upwards of
to ![g(x)](/tpl/images/0399/4896/1061e.png)
Step-by-step explanation:
The question is incomplete or missing data.
The correct question
What value represents the vertical translation from the graph of the parent function
to the graph of the function
?
Given functions:
Parent function
![f(x) = x^2](/tpl/images/0399/4896/32f84.png)
Translated function
![g(x) = (x + 5)^2 + 3](/tpl/images/0399/4896/18b4e.png)
Translation rules
For horizontal shift
![f(x)\rightarrow f(x+c)](/tpl/images/0399/4896/450e5.png)
If
the function shifts
units to the left.
If
the function shifts
units to the right.
For vertical shift
![f(x)\rightarrow f(x)+c](/tpl/images/0399/4896/fdb89.png)
If
the function shifts
units to the up.
If
the function shifts
units to the down.
From the functions given the translation rule can be given as:
![f(x)\rightarrow f(x+5)+3](/tpl/images/0399/4896/ee3ae.png)
![g(x)=f(x+5)+3](/tpl/images/0399/4896/a6254.png)
This shows the graph is shifted left by 5 units and upwards by 3 units.
Thus the value 3 represents the vertical translation of
to ![g(x)](/tpl/images/0399/4896/1061e.png)