The graph shows a quadratic function of the form P(t) = at2 + bt + c which represents the yearly profit for a company, where  P(t) is the profit in year t.       (a) Is the value of a positive, negative, or zero? Explain.   (b) Write an expression in terms of a and b that represents the year t when the company made the least profit.   (c) The company made the same yearly profits in 2004 and  2012.  Estimate the year in which the company made the least profit.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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The graph shows a quadratic function of the form

P(t) = at2 + bt + c

which represents the yearly profit for a company, where 

P(t) is the profit in year t.
 
 
 
(a) Is the value of a positive, negative, or zero? Explain.
 

(b) Write an expression in terms of a and b that represents the year t when the company made the least profit.
 

(c) The company made the same yearly profits in 2004 and 
2012.
 Estimate the year in which the company made the least profit.
P
|P(t) = at² + bt + c
Year, t
Yearly profit, P
Transcribed Image Text:P |P(t) = at² + bt + c Year, t Yearly profit, P
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