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

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Homework Help Overview

The discussion revolves around the graphing of a quadratic function represented by P = 87x - 700 - x^2. Participants are tasked with estimating the maximum value of P, calculating the coordinates of the stationary point, and verifying if it is a maximum.

Discussion Character

  • Exploratory, Conceptual clarification, Problem interpretation

Approaches and Questions Raised

  • Participants express uncertainty about graph drawing and stationary points, with some seeking guidance on how to proceed from their current understanding of the function. Others emphasize the importance of showing work and referencing lecture notes or textbooks for assistance.

Discussion Status

The discussion includes various attempts to clarify the problem, with some participants suggesting that the original poster refer to their notes for methods to sketch the function. There is a recognition of the need to transform the function into standard form to identify the vertex of the parabola, but no consensus has been reached on specific steps to take.

Contextual Notes

Participants note the expectation of demonstrating effort in homework inquiries, and there is a mention of the need for reference materials such as lecture notes or textbooks to aid in understanding the graphing process.

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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