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

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ThanksIn summary, the conversation is about drawing a graph of P = 34730 + 200 000 sin x. The speaker is having trouble with their calculator and asks for someone to draw the graph for them. Another person suggests visualizing or hand sketching the graph, and provides instructions on how to do so. The conversation ends with confirmation of the correct axes to use and a mathematical transformation to create the graph.
  • #1
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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  • #2
Don't bother to draw it.
Instead, visualize for yourself how it ought to look.
 
  • #3
Or you could simply hand sketch it yourself using simple graphical tranformations...:-p

~H
 
  • #4
mmm thanks
 
  • #5
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.
 
  • #6
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?
 
  • #7
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:

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

What does the equation P= 34730 + 200 000 sin x represent?

The equation represents a mathematical model that describes the periodic variation of a physical quantity P, where 34730 and 200000 are constants and sin x represents the sine function.

What is the relationship between P and x in this equation?

The value of P is dependent on the value of x, as the sin x term in the equation causes P to vary periodically as x changes.

How can this equation be used in practical applications?

This equation can be used to model any physical quantity that exhibits periodic behavior, such as temperature, sound waves, or electrical currents.

What do the constants 34730 and 200000 represent in this equation?

The constant 34730 represents the average value of P, while 200000 represents the amplitude of the periodic variation in P.

Can this equation be simplified or rewritten in a different form?

Yes, the equation can be rewritten as P= A + B sin x, where A= 34730 and B= 200000. This form is more commonly used in mathematical models and calculations.

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