When a function is translated, it means the function is moved away from its original position.
<em>The function g(x) is: </em><em />
Give that:
The rule of translation 5 units left is:
So, we have:
The rule of translation 3 units down is:
So, we have:
Hence, the function g(x) is:
Read more about translations at:
For this case we have that by definition, the equation of the line in the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis
We have the following points through which the line passes:
We find the slope of the line:
Thus, the equation of the line is of the form:
We substitute one of the points and find b:
Finally, the equation is:
Answer: