Question

PLEASE HELP, I HAVE A QUIZ IN 30 MINS

Write the equation of a sine function in standard form with the following characteristics: Max: 39
Min: 29
Period: 24
Horizontal Shift: 6 units to the right
Vertical reflection

Answer 1

we write
function of sine as

Answer 2

A*sinBx

Answer 3

A=amplitude

Answer 4

sorry
A*sin(Bx+C)

Answer 5

period= 2pi*B
shift=C

Answer 6

shift to right means c=-6

Answer 7

A*sin(Bx-6)

Answer 8

period =2*pi/B=24

Answer 9

\[\frac{ 2* \pi }{ B}= 24\]

Answer 10

\[B=\frac{ 2*\pi }{ 24 }=\frac{ \pi }{ 12 }\]

Answer 11

\[A*\sin(\frac{ \pi*x }{ 24 }-6)\]

Answer 12

and reflection along y axis means multiply x by negative sign

Answer 13

amplitude = (max-min)/2

Answer 14

A=(39-29)/2=5
so your function
\[-5\sin(\frac{ \pi x }{ 12}-6)\]

Answer 15

@maysa13

Answer 16

Thank you so much gorv!!!