The function, f(x) = |x - 2| + 4 has a vertex that is located in which quadrant?

quadrant i
quadrant ii
quadrant iii
quadrant iv

Quadrant I

Step-by-step explanation:

The standard equation of the absolute function is given by:

, where is the vertex of the absolute function.

The given absolute function :

Comparing to the standard absolute function, the vertex of the given absolute function = (2,4)

Since both the coordinates of the vertex is positive, therefore the vertex lies in Quadrant I .

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

step-by-step explanation:

bob the banana