Question

ILL BECOME A FAN IF YOU HELP ME !!

Which of the following would best represent a sine function with an amplitude of 7, a period of pi over 2, and a midline at y = 3?

Answer 1

@jim_thompson5910

Answer 2

hint:

y = A*sin(Bx - C) + D

is the general sine equation

|A| is the amplitude
T = 2pi/B is the period
y = D is the equation of the midline

Answer 3

so 7 sin 8x + 3

Answer 4

what is the value of B in this case?

Answer 5

8

Answer 6

so the period is

T = 2pi/B
T = 2pi/8
T = pi/4

but we want the period to be pi/2 instead

Answer 7

So the equation can't be y = 7*sin(8x) + 3

Answer 8

7sin (pu/4x)+3.

Answer 9

pi*

Answer 10

what's B this time?

Answer 11

pi over 4

Answer 12

T = 2pi/B
T = 2pi/(pi/4)
T = 2pi*(4/pi)
T = 8pi/pi
T = 8

Again, we don't get pi/2 like we want to, so it can't be that equation either

Answer 13

would you habe pi or no

Answer 14

the given period we want is T = pi/2

T = 2pi/B
pi/2 = 2pi/B

Solve for B to get B = ???

Answer 15

4

Answer 16

it would be