Draw graph of quadratic function 87x - 700 - x^2

AI Thread Summary
To graph the quadratic function P = 87x - 700 - x^2, it's essential to convert it into standard form to identify the vertex and maximum point. The vertex will provide the coordinates of the stationary point, which can be verified as a maximum by analyzing the concavity of the parabola. Users are encouraged to refer to lecture notes or textbooks for guidance on sketching quadratic functions and finding roots. Additionally, setting P = 0 will help determine the function's zeros. Understanding these concepts is crucial for accurately graphing and analyzing the function.
education1983
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P = 87x - 700 -x^2

1. Draw a graph of P against x and estimate the maximum value of P and also calculate the coordinates of the stationary point and verify if it is maximum.

I am not very good at graph drawing or stationary points... any help people?
 
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education1983 said:
P = 87x - 700 -x^2

1. Draw a graph of P against x and estimate the maximum value of P and also calculate the coordinates of the stationary point and verify if it is maximum.

I am not very good at graph drawing or stationary points... any help people?
You've been told several times that you need to show work or at least a little effort when asking for homework help. We will not do your homework for you.
 


I found P= 87X - 700 - X^2 after my calculations, I just need a little help on where to go from there??
 


education1983 said:
I found P= 87X - 700 - X^2 after my calculations, I just need a little help on where to go from there??
You must have lecture notes or a textbook to refer to. How does your notes suggest that one sketch such a function?
 


You presented a function P, in general form. Check your notes and textbook to learn how to transform your function into standard form. Standard form for a quadratic function allows you to see how your function has changed from P = x^2. Standard form allows you to very easily identify the vertex of the parabola. You then can let P = 0 or
0 = 87x - 700 -x^2 to find any "roots" or "zeros" of the function P.
 

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