How to Graph the Function P = 34730 + 200000 Sin x?

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Homework Help Overview

The discussion revolves around graphing the function P = 34730 + 200000 Sin x, focusing on visualizing the relationship between P and x. Participants are exploring how to represent this function graphically without directly providing a graph.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants suggest visualizing the graph rather than relying on a calculator, with some recommending hand sketching using graphical transformations. There is discussion about the characteristics of the sine function and how to apply vertical stretching and translation to it.

Discussion Status

The conversation is active, with various participants offering insights on how to conceptualize the graph. While no consensus on a specific method has been reached, there is a productive exchange of ideas regarding the transformations needed to represent the function accurately.

Contextual Notes

One participant mentions issues with their calculator, which may limit their ability to graph the function directly. The discussion also hints at the assumption that participants are familiar with the sine function's basic properties.

Natasha1
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My batteries of my calculator playing up I cannot draw the following graph:

P= 34730 + 200 000 sin x

Could someone please use a graph package to draw it and possibly attach it so I can have a look at it please :-)

I need to view P against x.

Thanks ever so much!
 
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Don't bother to draw it.
Instead, visualize for yourself how it ought to look.
 
Or you could simply hand sketch it yourself using simple graphical tranformations...:-p

~H
 
mmm thanks
 
I guess you know haow the sinx graph looks like. Now elongate it vertically 200000 times and move it 34730 units up the vertical (P) axes.
 
antonantal said:
I guess you know haow the sinx graph looks like. Now elongate it vertically 200000 times and move it 34730 units up the vertical (P) axes.

x on horizontal axis

and P on the vertical axis right?
 
Natasha1 said:
x on horizontal axis

and P on the vertical axis right?

Yep, that's right. In mathematical terms the transformation would be a vertical stretch, scale factor 200 000 and a translation of vector [tex]\left( \stackrel{0}{34730} \right)[/tex].

~H
 
Last edited:

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