If the graph of y= |x| is translated so that the point (1, 1) is moved to (4,1), what is the equation of the new graph?

Step-by-step explanation:

The parent absolute function is

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

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

The new vertex of the function is (3,0). Substitute h=3 and k=0 in the above equation.

Therefore, the required equation is y=|x-3|.

agree

step-by-step explanation:

since we know that the two functions are equal, f (x) = g

(x), therefore when we equate the two equations the result should be similar to

3x = x – 4:

a. f(x) = 3x, g(x) = x – 4

equating the two functions:

3x = x – 4             (correct)

so we now got our answer (a)