The black graph is the graph of y = f(x) . Choose the equation for the red graph

B

Step-by-step explanation:

I would say make a quick table for each:

black:

Y     I    X

-2         4

-1         -2, 3.5

0         -.75, 3

1           .75, 2.5

2         2

Red:

Y     I    X

-2         2

-1         -1, 1.75

0         -.25, 1.5

1           .25, 1.25

2         1

The x's are almost half in the red as in the black graph.

Thinking logically you can see that the Y points stay the same so you can rule out C and D, and since the graph got smaller not bigger dividing by two will give the graph not multiplying.

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: