Write an equation for a function with the given characteristics. a cosine curve with a period of pi, and amplitude of 1, a left phase shift of pi, and vertical transiation up 5/2 of a unit.

y = cos (2x + 2π) - 5/2

Step-by-step explanation:

y = a cos (bx + c) +d

a = Amplitude =1

period = 2π/b =π

b= 2

phase shift  c/b = π

c/2 =π

c =2π

vertical translation = 5/2 units

d = -5/2 downwards

therefore substituting the values

y=1 cos (2x +2π) - 5/2

y = cos (2x + 2π) - 5/2  ;equation  for the function

a framing bias

step-by-step explanation:

rodrigo is subject to a framing bias i believe.

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: