sinusoidal modeling

Question 1

in this equation asin(bx+-d) + c: what do each letter mean

Answer 1

a= the amplitude or distance the sinusoidal rises and falls above the midline.

b= frequency

d= horizontal shift(+ d shift left)(-d shift right)

c= midline, vertical shift (C+ go up) (C- go down)

Question 2

Solving for C

Answer 2

midline; Ymax+ Y min/2 = c

Question 3

solving for max and min

Answer 3

y max= c+a

y min= c-a

Question 4

period

Answer 4

BP=2pie

Question 5

scale factor

Answer 5

period/4

Question 6

explain how you graph a cos function

Answer 6

if A is positive start at the max then go down to midline then down to min, they back up to midline and then finally back up to max.

if A is negative do the same thing but instead start at the min

Question 7

explain how you graph a sin function

Answer 7

you start at the midline and if the a is positive then you go to max then back to midline then to the min

If a is negative you start at the midline but go to min first then go back to midline and then back to max