Interpret equation or graph properties

CONCEPTS

Graphing Trigonometry Equations

y = A sin (B (x – C)) + D

• A = amplitude (A > 0 opens up, A < 0 opens down)

• D = shift up & down (D > 0 shift up, D < 0 shift down)

Period

• The distance to make 1 entire cycle for each curve (see the picture above)

PRACTICE PROBLEMS

Question 1 What is the maximum value of the function (see graph below) (amplitude)?

-- Answer -- y = 3

Question 2 Given a function with the equation y = a sin(bx + c). What is the period (see figure below)?

-- Answer -- Period = π

ACT PRACTICE PROBLEMS