Determine an equation that may represented by the graph shown below.

A) $f ( x ) = | x - 1 | - 1$
B) $f ( x ) = - | x - 1 | + 1$
C) $f ( x ) = | x - 1 | + 1$
D) $f ( x ) = | x + 1 | + 1$
E) $f ( x ) = | x + 1 | - 1$

Question

Determine an equation that may represented by the graph shown below.

A) $f ( x ) = | x - 1 | - 1$ 
B) $f ( x ) = - | x - 1 | + 1$ 
C) $f ( x ) = | x - 1 | + 1$ 
D) $f ( x ) = | x + 1 | + 1$ 
E) $f ( x ) = | x + 1 | - 1$

Quizplus · Accepted Answer

The graph passes through the point (1,2) and is symmetric around the line x=1. This means that the equation must include the term |x-1| and add a constant to shift it up by 1. Choice C is the only equation that fits this description.

Determine an Equation That May Represented by the Graph Shown f(x)=∣x−1∣−1f ( x ) = | x - 1 | - 1f(x)=∣x−1∣−1

Determine an Equation That May Represented by the Graph Shown $f ( x ) = | x - 1 | - 1$