Graphing Trigonometric Functions

Question 1

y = −5·sin(3x) + 1
What is the amplitude?

Answer 1

|A| = 5

Question 2

y = −5·sin(3x) + 1
What is the midline?

Answer 2

D = 1

Question 3

y = −5·sin(3x) + 1
What is the period?

Answer 3

Period = 2π/|B|
2π/3

Question 4

y = −5·sin(3x) + 1
What is the range?

Answer 4

D + or - |A|
1 + 5 and 1 - 5

Question 5

y = −5·sin(3x) + 1
What is the horizontal shift?

Answer 5

sin(bx + c)
0 shift