Answer:
The new equation is y= (x-3)
Step-by-step explanation: we know that the point (1, 1) is moved to (4,1).
So, the rule of the translation is: [tex](x,y) -----> (x+3, y)[/tex]
that means the translation is 3 units to the right
Answer:
[tex]y=|x-3|[/tex]
Step-by-step explanation:
The parent absolute function is
[tex]y=|x|[/tex]
The graph of y= |x| is translated so that the point (1, 1) is moved to (4,1). It means the rule of translation is
[tex](x,y)\rightarrow (x+3,y)[/tex]
it means the graph of y=|x| translated 3 units right. So, the new vertex of the function is (3,0).
The vertex form of an absolute function is
[tex]y=|x-h|+k[/tex]
The new vertex of the function is (3,0). Substitute h=3 and k=0 in the above equation.
[tex]y=|x-3|+0[/tex]
[tex]y=|x-3|[/tex]
Therefore, the required equation is y=|x-3|.
