Question

Please HELP!!!!!!!
Using the function y = 5sin3(x – 25) + 4, answer the following questions:
A) What is the maximum value for this graph?
B) What is the period for this graph?
C) What is the phase shift for this graph?

Answer 1

HI!!

Answer 2

lets take a couple easy steps to find the maximum
what is the maximum of sine ?

Answer 3

maximum value of sin 0 =1

Answer 4

yes
so if the biggest sine can be is one, whats is the biggest \(5\times\sin(\theta)\)?

Answer 5

1

Answer 6

no, you are multiplying it by 5

Answer 7

Oh..then its 5

Answer 8

right

Answer 9

and then add 4
what is the biggest \[5\sin(\theta)+4\] can be?

Answer 10

9

Answer 11

done

Answer 12

That was easy..lol. Thank you

Answer 13

\[\color\magenta\heartsuit\]

Answer 14

you still need the period, which is \[\frac{2\pi}{b}\]
in your case \(b=3\)

Answer 15

Yea. I'm not sure about the period

Answer 16

did you understand my answer ?

Answer 17

I didn't see it come up. It said math processing error

Answer 18

refresh your browswer

Answer 19

Oh ok I see it now!

Answer 20

Ok so if i calculate that I should find the period right?

Answer 21

What about the phase shift?

Answer 22

just write the period, don't "calculate" it \[\frac{2\pi}{b}=\frac{2\pi}{3}\]

Answer 23

Ok yea I just realized that

Answer 24

the phase shift is that 25 out at the end

Answer 25

Oh ok. Makes sense. Thank you soo much for helping me!!!

Answer 26

\[\color\magenta\heartsuit\]