Answer:
;
Step-by-step explanation:
we know that
step 1
Find the inequality of the solid line x+3y=6
The solution is the shaded area below the solid line
therefore
The equation of the inequality is
step 2
Find the inequality of the solid line y=3x-1
The solution is the shaded area above the solid line
therefore
The equation of the inequality is
therefore
The system of linear inequalities is
;
Given:
The two functions are:
To find:
The type of transformation from f(x) to g(x) in the problem above and including its distance moved.
Solution:
The transformation is defined as
.... (i)
Where, a is horizontal shift and b is vertical shift.
We have,
The function g(x) can be written as
...(ii)
On comparing (i) and (ii), we get
Therefore, the type of transformation is translation and the graph of f(x) shifts 2 units up to get the graph of g(x).