Sin Graph Mother Function

Question 1

Effect of Amplitude Changing (a)

Answer 1

y=asinx

Question 2

Effect of Vertical Shift (q)

Answer 2

shift up: y=asinx+q
shift down: y=asin-q

Question 3

Effect of Horizontal Shift (p)

Answer 3

shift right: y=sin(x-45)
shift left: y=sin(x+45)

Question 4

Effect of Period/Frequency Changing (b)

Answer 4

y=sinb/2
period=360/2
= 180

Question 5

Period of a Standard Sin Graph

Answer 5

xE(0°;360°)