Question

For the function below, state the amplitude, period, phase shift, and vertical translation of the graph for the sinusoid with respect to the parent function F(x)=sin(x).

H(x)=-3sin(x- pi/4) +2

What does it mean "with respect to the parent function"?

Answer 1

Basically what it is saying is what has been added to the F(x) function.
The F(x) is the basic and the H(x) is the modified.
I don't know if that makes sense..

Answer 2

So, I wouldn't have to take in account F(x)=sin(x) when finding the amplitude, period, etc|

Answer 3

You have to take in account F(x)=sin(x) because it helps you to determine the changes (amplitude, Period, etc.) that have been applied in H(x).

Answer 4

So what I'm trying to find is the difference in amplitude, period, etc. between H(x) and F(x)?

Answer 5

So, graphs in the form H(x) = A sin (Bx - C) +D are transformations of f(x) = sin x

Do you understand this?

Answer 6

Yes, I do

Answer 7

Do you know which one is which in regard to amplitude, period, phase shift and vertical translation?

Answer 8

Yes. A is Amplitude, B is used in finding the period, phase shift is C, and vertical shift is D, correct?

Answer 9

Yes.

Answer 10

So, what is it that you're not understanding?

Answer 11

I just don't know what it's asking for when it says find the amplitude, etc. in relation to the parent function. Am I just looking for the all of that for the function of H(x), or is there something more?

Answer 12

You're just stating the transformations (amplitude, period etc.) in H(x) that have been applied to the f(x) function.

Answer 13

OH. I just realized what it was asking. The "respect to the parent function" part is just stating that sin(x) is the base function, without any phase shift or amplitude changes applied, right?

Answer 14

Yes!

Answer 15

Hm, just to clarify, could I attach a picture of the exact question I have so I know if that's the case?

Answer 16

http://gyazo.com/48615349b871c2667b0fa3cc871f6af3

That is the question above ^. Is it just asking "Identify the amplitude, period, and phase shift of the function with respect to the parent function."?

Answer 17

That is what i'm getting from it.

Answer 18

Alright, thank you for your help!