Question

graph y=sin(4x-5 pi)+1 over one full period

Answer 1

Compare y=sin(4x-5 pi)+1 to the more general y = a*sin(bx + c) + d. By doing so, you'll be able to identify the values of a, b, c and d.
What do these quantities represent?
|a| is the amplitude of the sine function's graph.
b is the "frequency."
c determines a horizontal phase shift (i. e., the whole sine graph is shifted left or right, according to whether c is positive or negative).
d determines a vertical offset (i. e., the whole sine graph is shifted up or down by d units, depending upon the sign of d.
Try identifying a, b, c and d, please.

Answer 2

Once you have b and c, you can then determine the period and horizontal phase shift.

The period is (2pi)/b, and the horiz. phase shift is (-c/b().

Answer 3

he/she is offline. maybe hoping to log back on later with a pat answer ready to go lol

Answer 4

sorry guys got off to eat lol
but i solved it already sorry for the trouble
Amplitude=1
Period=pi/2
asymptotes= 5pi/4 and 7pi/4
thanks for the help though

Answer 5

Glad you were able to do this on your own and cared enough to thank those who had tried to help you.

Answer 6

haha didnt mean to be rude and log off, but i was hungry lol. :P

Answer 7

But: Hold it! Where do those asymptotes come from? Does the graph of a sine function have asymptotes?

Answer 8

well if trying to find one full period it does

Answer 9

basically a cut off point

Answer 10

but it doesnt end really

Answer 11

Careful: "asymptote" doesn't apply to sine or cosine functions. Those trig functions that do have asymptotes are the tan, cot, sec and csc ONLY.

Answer 12

In the problem you've presented, you have both vertical and horizontal shifts; in the latter case we might call this a "phase shift."

Answer 13

lol i guess i didnt use the right word :P
my teacher told us to use the problem bx-c=0 and bx-c=2pi

Answer 14

So, what do you think is/are the right word(s)?

Answer 15

to help find one full period

Answer 16

well idk cause ive been writing aysmptote on all my papers and she didnt count off

Answer 17

wouold it be the interval?

Answer 18

The big question here is: How would you use the results of your analysis to graph a sine function that has both a horizontal (phase) shift and a vertical offset?

Answer 19

Compare y=sin(4x-5 pi)+1 to the more general y = a*sin(bx + c) + d. By doing so, you'll be able to identify the values of a, b, c and d.
What do these quantities represent?
|a| is the amplitude of the sine function's graph.
b is the "frequency."
c determines a horizontal phase shift (i. e., the whole sine graph is shifted left or right, according to whether c is positive or negative).
d determines a vertical offset (i. e., the whole sine graph is shifted up or down by d units, depending upon the sign of d.
Try identifying a, b, c and d, please.
an hour agoDelete
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mathmale Medals 0
Once you have b and c, you can then determine the period and horizontal phase shift.

The period is (2pi)/b, and the horiz. phase shift is (-c/b).


(I just cut and pasted material I wrote you earlier.)

Please calculate the period and the horizontal phase shift.

Answer 20

one sec

Answer 21

so i would shift everything one space to the right?

Answer 22

wait its a positive d so i shift the graph one point upward