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 is a V-shape with its vertex at (1,1). The equation of a V-shape with its vertex at (h,k) is given by: 
$$f(x) = |x-h|+k$$
Therefore, the equation that may represent the graph shown is:
$$f(x) = |x-1| + 1$$
which matches choice (C).

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 $f ( x ) = | x - 1 | - 1$