Question

Which describes the graph of fx=[x]-2 on [0, 3)?

Answer 1

Explanation:

Find the absolute value vertex. In this case, the vertex for

y = |x − 2 | + 1 is ( 2 , 1 ) .

To find the x coordinate of the vertex, set the inside of the absolute value

x − 2 equal to 0 . In this case,

x − 2 = 0. x−2 = 0

Add 2 to both sides of the equation.

x = 2

Replace the variable x with 2 in the expression.

y = | ( 2 ) − 2 | + 1

Simplify

| ( 2 ) − 2 | + 1 .

Simplify each term.

Subtract 2 from 2

y = | 0 | + 1

The absolute value is the distance between a number and zero. The distance between 0 and 0 is 0 .

y = 0 + 1

Add 0 and 1 .

y = 1

The absolute value vertex is ( 2 , 1 ) . ( 2 , 1 )