Stationary points

TRr

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Nov 16, 2019
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The curve y=ax^2+bx+c has a min at x=12 and passes through the points (2,0) and (1,-3). Find the values of a, b and c.
 
The curve y=ax^2+bx+c has a min at x=12 and passes through the points (2,0) and (1,-3). Find the values of a, b and c.
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Please share your work/thoughts about this assignment.
 
There are three unknowns, a,b and c, and you were given three pieces of information.
Now try something.
 
The curve y=ax^2+bx+c has a min at x=12 and passes through the points (2,0) and (1,-3). Find the values of a, b and c.
How is:

\(\displaystyle \frac{d}{dx}f(x)\)

related to the local minimum of the function f(x)?
 
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