The graph of|y-1|=|x+1| forms an X. The two branches of the X intersect at a point whose coordinates are

Options

A. (1,1)
B. (-1,1)
C. (1,-1)
D. (-1,-1)

Answer

B

Explanation

The equation |y-1|="x+1| defines two functions:y`+-|x+1|+1`. Plot these graphs in the standard window and obseve that they intersect at (-1,1).
An alternative solution is to recall that the important point of an absolute value occurs when the expression within the absolute value sign equals zero. The important point of this absolute value problem occurs when y-1=0 and x+1=0, i.e., at (-1,1). [11]